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Adriaan Cornelis Zaanen

Adriaan Cornelis "Aad" Zaanen (14 June 1913 in Rotterdam – 1 April 2003 in Wassenaar) was a Dutch mathematician working in analysis. He is known for his books on Riesz spaces (together with Wim Luxemburg).

Aad Zaanen
Zaanen in 1967
Born
Adriaan Cornelis Zaanen

14 June 1913
Died1 April 2003 (2003-05) (aged 89)
NationalityDutch
Alma materLeiden University
Known forContributions to the theory of Riesz spaces
SpouseAda van der Woude
AwardsMember of the Royal Netherlands Academy of Arts and Sciences (1960)
Knight of the Order of the Netherlands Lion (1982)
Honorary member of the Dutch Mathematical Society (1988)
Scientific career
FieldsFunctional analysis
InstitutionsBandung Institute of Technology
Delft University of Technology
Leiden University
Doctoral advisorJohannes Droste
Doctoral studentsW.A.J. Luxemburg, B.C. Strydom, M.A. Kaashoek, A.C. van Eijnsbergen, J.J. Grobler, N.A. van Arkel, C.B. Huijsmans, E. de Jonge, P. Maritz, W.J. Claas, A.R. Schep, W.K. Vietsch, B. de Pagter

Biography Edit

Zaanen was born in Rotterdam, where he attended the Hogere Burgerschool. He graduated in 1930 with excellent marks, and started his studies in mathematics at Leiden University. Having obtained his master's degree in 1935, he did research under the guidance of his doctoral advisor Johannes Droste,[1] and was awarded a Ph.D. in 1938. His doctoral thesis dealt with the convergence of series of eigenvalues of boundary value problems of the Sturm–Liouville type.[2] The same year he was appointed a mathematics teacher at the Hogere Burgerschool in Rotterdam, a profession that he continued until 1947.[3]

In the next years and also in the period of the German occupation of the Netherlands, Zaanen continued to do mathematical research in his spare time. He studied Stefan Banach's Théorie des Opérations Linéaires, the book that laid the foundations of functional analysis, and Marshall H. Stone's Linear Transformations in Hilbert Space. During this period he wrote nine scientific papers on integral equations with symmetrisable kernels that were published in the Proceedings of the Royal Netherlands Academy of Arts and Sciences in 1946-47.[4]

In parallel to his job as a secondary-school teacher, Zaanen was appointed in 1946 as a mathematics teacher for three hours per week at the Technische Hogeschool Delft, and as an unpaid privaatdocent at Leiden University where he taught a course on Lebesgue integration.[4]

In 1947 Zaanen accepted the position of Professor of Mathematics at the Technische Hogeschool Bandoeng. In 1950 he returned to the Netherlands where he was appointed Professor of Mathematics at the Technische Hogeschool Delft. In these years he continued his work on the book Linear Analysis, which was published in 1953 and for years was a prominent work on functional analysis and the theory of integral equations.[5]

In 1956 Zaanen was appointed Professor of Mathematics at Leiden University. There he started a large research programme into the theory of Riesz spaces, together with his first doctoral student Wim Luxemburg, Professor of Mathematics at the California Institute of Technology. Most of their results were published in a series of papers in the Proceedings of the Royal Netherlands Academy of Arts and Sciences. Unusually for mathematics research in the Netherlands at the time, Zaanen pursued a long-term research programme involving a number of collaborators and doctoral students. Eight doctoral theses on various topics in the theory of Riesz spaces were produced in this school.[6]

Zaanen took retirement in 1982.

Publications Edit

Zaanen published almost 70 papers in scientific journals and reviewed conference proceedings.[7] He is however best known for four large books that each took a prominent place in scientific literature:

  • A.C. Zaanen, Linear Analysis, North-Holland Publishing Company, Amsterdam and P. Noordhoff, Groningen (1953, 1957, 1960), 600 pages
  • Adriaan Cornelis Zaanen, Integration, North-Holland Publishing Company, Amsterdam (1967) 604 pages. Revised and enlarged edition of An Introduction to the Theory of Integration (1958, 1961, 1965).
  • W.A.J. Luxemburg and A.C. Zaanen, Riesz Spaces Volume I, North-Holland Publishing Company, Amsterdam London (1971), 514 pages
  • A.C. Zaanen, Riesz Spaces II, North-Holland Publishing Company, Amsterdam New York Oxford (1983), 720 pages

Other functions and honours Edit

Zaanen was elected a member of the Royal Netherlands Academy of Arts and Sciences in 1960.[3]

He served as President of the Dutch Mathematical Society from 1970 until 1972. He was an editor of the Society's journal Nieuw Archief voor Wiskunde from 1953 until 1982. In 1988 he was appointed an honorary member of the Society.

He served as a member of the Curatorium of the Mathematisch Centrum from 1965 until 1979.

On his retirement in 1982 Zaanen was appointed Knight of the Order of the Netherlands Lion.[4]

References Edit

  1. ^ Gerrit van Dijk (2011). Leidse hoogleraren Wiskunde 1575-1975. Mathematisch Instituut, Universiteit Leiden. pp. 56–57. ISBN 978-90-817201-1-3.
  2. ^ Adriaan Cornelis Zaanen in the Mathematics Genealogy Project. Retrieved 12 September 2013.
  3. ^ a b C.B. Huijsmans; M.A. Kaashoek; W.A.J. Luxemburg & W.K. Vietsch (1982). From A to Z. Proceedings of a Symposium in honour of A.C. Zaanen. Mathematisch Centrum. pp. 123–124. ISBN 90-6196-241-2.
  4. ^ a b c Gerrit van Dijk (2011). Leidse hoogleraren Wiskunde 1575-1975. Mathematisch Instituut, Universiteit Leiden. pp. 63–64. ISBN 978-90-817201-1-3.
  5. ^ John J. O'Connor & Edmund F. Robertson. Adriaan Cornelis Zaanen in the MacTutor History of Mathematics archive. University of St. Andrews. Retrieved 12 September 2013.
  6. ^ C.B. Huijsmans; M.A. Kaashoek; W.A.J. Luxemburg & W.K. Vietsch (1982). From A to Z. Proceedings of a Symposium in honour of A.C. Zaanen. Mathematisch Centrum. p. 130. ISBN 90-6196-241-2.
  7. ^ C.B. Huijsmans; M.A. Kaashoek; W.A.J. Luxemburg & W.K. Vietsch (1982). From A to Z. Proceedings of a Symposium in honour of A.C. Zaanen. Mathematisch Centrum. pp. 125–129. ISBN 90-6196-241-2.

adriaan, cornelis, zaanen, adriaan, cornelis, zaanen, june, 1913, rotterdam, april, 2003, wassenaar, dutch, mathematician, working, analysis, known, books, riesz, spaces, together, with, luxemburg, zaanenzaanen, 1967born14, june, 1913rotterdam, netherlandsdied. Adriaan Cornelis Aad Zaanen 14 June 1913 in Rotterdam 1 April 2003 in Wassenaar was a Dutch mathematician working in analysis He is known for his books on Riesz spaces together with Wim Luxemburg Aad ZaanenZaanen in 1967BornAdriaan Cornelis Zaanen14 June 1913Rotterdam NetherlandsDied1 April 2003 2003 05 aged 89 Wassenaar NetherlandsNationalityDutchAlma materLeiden UniversityKnown forContributions to the theory of Riesz spacesSpouseAda van der WoudeAwardsMember of the Royal Netherlands Academy of Arts and Sciences 1960 Knight of the Order of the Netherlands Lion 1982 Honorary member of the Dutch Mathematical Society 1988 Scientific careerFieldsFunctional analysisInstitutionsBandung Institute of TechnologyDelft University of TechnologyLeiden UniversityDoctoral advisorJohannes DrosteDoctoral studentsW A J Luxemburg B C Strydom M A Kaashoek A C van Eijnsbergen J J Grobler N A van Arkel C B Huijsmans E de Jonge P Maritz W J Claas A R Schep W K Vietsch B de Pagter Contents 1 Biography 2 Publications 3 Other functions and honours 4 ReferencesBiography EditZaanen was born in Rotterdam where he attended the Hogere Burgerschool He graduated in 1930 with excellent marks and started his studies in mathematics at Leiden University Having obtained his master s degree in 1935 he did research under the guidance of his doctoral advisor Johannes Droste 1 and was awarded a Ph D in 1938 His doctoral thesis dealt with the convergence of series of eigenvalues of boundary value problems of the Sturm Liouville type 2 The same year he was appointed a mathematics teacher at the Hogere Burgerschool in Rotterdam a profession that he continued until 1947 3 In the next years and also in the period of the German occupation of the Netherlands Zaanen continued to do mathematical research in his spare time He studied Stefan Banach s Theorie des Operations Lineaires the book that laid the foundations of functional analysis and Marshall H Stone s Linear Transformations in Hilbert Space During this period he wrote nine scientific papers on integral equations with symmetrisable kernels that were published in the Proceedings of the Royal Netherlands Academy of Arts and Sciences in 1946 47 4 In parallel to his job as a secondary school teacher Zaanen was appointed in 1946 as a mathematics teacher for three hours per week at the Technische Hogeschool Delft and as an unpaid privaatdocent at Leiden University where he taught a course on Lebesgue integration 4 In 1947 Zaanen accepted the position of Professor of Mathematics at the Technische Hogeschool Bandoeng In 1950 he returned to the Netherlands where he was appointed Professor of Mathematics at the Technische Hogeschool Delft In these years he continued his work on the book Linear Analysis which was published in 1953 and for years was a prominent work on functional analysis and the theory of integral equations 5 In 1956 Zaanen was appointed Professor of Mathematics at Leiden University There he started a large research programme into the theory of Riesz spaces together with his first doctoral student Wim Luxemburg Professor of Mathematics at the California Institute of Technology Most of their results were published in a series of papers in the Proceedings of the Royal Netherlands Academy of Arts and Sciences Unusually for mathematics research in the Netherlands at the time Zaanen pursued a long term research programme involving a number of collaborators and doctoral students Eight doctoral theses on various topics in the theory of Riesz spaces were produced in this school 6 Zaanen took retirement in 1982 Publications EditZaanen published almost 70 papers in scientific journals and reviewed conference proceedings 7 He is however best known for four large books that each took a prominent place in scientific literature A C Zaanen Linear Analysis North Holland Publishing Company Amsterdam and P Noordhoff Groningen 1953 1957 1960 600 pages Adriaan Cornelis Zaanen Integration North Holland Publishing Company Amsterdam 1967 604 pages Revised and enlarged edition of An Introduction to the Theory of Integration 1958 1961 1965 W A J Luxemburg and A C Zaanen Riesz Spaces Volume I North Holland Publishing Company Amsterdam London 1971 514 pages A C Zaanen Riesz Spaces II North Holland Publishing Company Amsterdam New York Oxford 1983 720 pagesOther functions and honours EditZaanen was elected a member of the Royal Netherlands Academy of Arts and Sciences in 1960 3 He served as President of the Dutch Mathematical Society from 1970 until 1972 He was an editor of the Society s journal Nieuw Archief voor Wiskunde from 1953 until 1982 In 1988 he was appointed an honorary member of the Society He served as a member of the Curatorium of the Mathematisch Centrum from 1965 until 1979 On his retirement in 1982 Zaanen was appointed Knight of the Order of the Netherlands Lion 4 References Edit Gerrit van Dijk 2011 Leidse hoogleraren Wiskunde 1575 1975 Mathematisch Instituut Universiteit Leiden pp 56 57 ISBN 978 90 817201 1 3 Adriaan Cornelis Zaanen in the Mathematics Genealogy Project Retrieved 12 September 2013 a b C B Huijsmans M A Kaashoek W A J Luxemburg amp W K Vietsch 1982 From A to Z Proceedings of a Symposium in honour of A C Zaanen Mathematisch Centrum pp 123 124 ISBN 90 6196 241 2 a b c Gerrit van Dijk 2011 Leidse hoogleraren Wiskunde 1575 1975 Mathematisch Instituut Universiteit Leiden pp 63 64 ISBN 978 90 817201 1 3 John J O Connor amp Edmund F Robertson Adriaan Cornelis Zaanen in the MacTutor History of Mathematics archive University of St Andrews Retrieved 12 September 2013 C B Huijsmans M A Kaashoek W A J Luxemburg amp W K Vietsch 1982 From A to Z Proceedings of a Symposium in honour of A C Zaanen Mathematisch Centrum p 130 ISBN 90 6196 241 2 C B Huijsmans M A Kaashoek W A J Luxemburg amp W K Vietsch 1982 From A to Z Proceedings of a Symposium in honour of A C Zaanen Mathematisch Centrum pp 125 129 ISBN 90 6196 241 2 Retrieved from https en wikipedia org w index php title Adriaan Cornelis Zaanen amp oldid 1133185810, wikipedia, wiki, book, books, library,

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