Benutzer:MVmath20/Albert Wilansky

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Albert "Tommy" Wilansky (13 September 1921, St Johns, Newfoundland – 3 July 2017, Bethlehem, Pennsylvania) was a Canadian-American mathematician, known for introducing Smith-Zahl .[1][2]

Biography

Wilansky was educated as an undergraduate at Dalhousie University, where he received an M.A. in mathematics in 1944. From 1944 to 1947 he was a graduate student at Brown University.[3] In 1947 he received his Ph.D. with advisor Clarence Raymond Adams and dissertation An application of Banach linear functionals to the theory of summability.[4]

From 1948 until his official retirement in 1992, Wilansky was a faculty member of the mathematics department of Lehigh University.[3]

Vorlage:Blockquote

Wilansky did research in analysis, specializing in summability theory, linear topological spaces, Banach algebras, and functional analysis.[3] He was the author of several books and the author or co-author of more than 80 articles. He lectured at over 50 different universities.[2] In 1969 he received the Mathematical Association of America's Lester R. Ford Award for his 1968 article Spectral Decomposition of Matrices for High School Students.[5] (The 1969 award was also given individually to 5 other mathematicians.)

Wilansky was married to his first wife from 1947 until her death in 1969. They had two daughters. He had three step-daughters from his second marriage.

Selected publications

Articles

  • Albert Wilansky: An application of Banach linear functionals to summability. In: Transactions of the American Mathematical Society. 67, Nr. 1, 1949, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 59–68. Modul:Vorlage:Handle * library URIutil invalid.
  • Albert Wilansky: A necessary and sufficient condition that a summability method be stronger than convergence. In: Bulletin of the American Mathematical Society. 55, Nr. 10, 1949, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 914–916. Modul:Vorlage:Handle * library URIutil invalid.
  • Albert Wilansky, Karl Zeller: Summation of bounded divergent sequences, topological methods. In: Transactions of the American Mathematical Society. 78, Nr. 2, 1955, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 501–509. Modul:Vorlage:Handle * library URIutil invalid.
  • Albert Wilansky, Karl Zeller: A biorthogonal system which is not a Toeplitz basis. In: Bulletin of the American Mathematical Society. 69, Nr. 5, 1963, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 725–726. Modul:Vorlage:Handle * library URIutil invalid.
  • A. Wilansky: On a characterization of barrelled spaces. In: Proceedings of the American Mathematical Society. 57, Nr. 2, 1976, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 375. Modul:Vorlage:Handle * library URIutil invalid.
  • Nigel Kalton, Albert Wilansky: Tauberian operators on Banach spaces. In: Proceedings of the American Mathematical Society. 57, Nr. 2, 1976, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 251–255. Modul:Vorlage:Handle * library URIutil invalid.
  • Saxon, Stephen A.: The equivalence of some Banach space problems. In: Institute of Mathematics Polish Academy of Sciences (Hrsg.): Colloquium Mathematicum. 37, Nr. 2, 1977, S. 217–226. Modul:Vorlage:Handle * library URIutil invalid.
  • A. K. Snyder, A. Wilansky: The Mazur-Orlicz bounded consistency theorem. In: Proceedings of the American Mathematical Society. 80, Nr. 2, 1980, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 374–376. Modul:Vorlage:Handle * library URIutil invalid.
  • Wilansky, Albert: Mazur spaces. In: International Journal of Mathematics and Mathematical Sciences. 4, 1981, S. 39–53. Modul:Vorlage:Handle * library URIutil invalid.

Literatur:

  • Functional analysis. Blaisdell, New York 1964.
  • Topics in functional analysis. Springer-Verlag, 1967. Albert Wilansky: 2006 pbk edition 14 November 2006, ISBN 978-3-540-35525-0.
  • Topology for analysis. Ginn, Waltham, Massachusetts 1970. Albert Wilansky: Dover reprint 2008, ISBN 9780486469034.[6]
  • Modern methods in topological vector spaces. McGraw-Hill, New York 1978.[7] Albert Wilansky: Dover reprint 2013, ISBN 9780486493534.[8]
  • Summability through functional analysis. North-Holland, 1984. A. Wilansky: 2000 pbk edition April 2000, ISBN 9780080871967.

References

  1. ↑ Wilansky, A.: Smith numbers. In: Two-Year College Mathematics Journal. 13, 1982. Modul:Vorlage:Handle * library URIutil invalid.
  2. ↑ a b Vorlage:Cite newspaper
  3. ↑ a b c Zitarelli, David E.: EPADEL: A Sesquicentennial History, 1926–2000. (See personal profile of Albert Wilansky in Chapter 6.)
  4. ↑ Vorlage:MathGenealogy
  5. ↑ Spectral Decomposition of Matrices for High School Students. In: Mathematical Association of America . (with link to PDF of article, which was published in Mathematics Magazine )
  6. ↑ Stenger, Allen: Review of Topology for analysis. In: MAA Reviews, Mathematical Association of America . October 10, 2009.
  7. ↑ James R. Retherford: Book Review: Locally convex spaces by H. Jarchow and Modern methods in topological vector spaces by Albert Wilansky. In: Bulletin of the American Mathematical Society. 7, Nr. 3, 1982, Skriptfehler: Das Modul gab einen nil-Wert zurück. Es wird angenommen, dass eine Tabelle zum Export zurückgegeben wird., S. 612–615. Modul:Vorlage:Handle * library URIutil invalid.
  8. ↑ Stenger, Allen: Review of Modern Methods in Topological Vector Spaces. In: MAA Reviews, Mathematical Association of America . April 6, 2015.


Category:1921 births Category:2017 deaths Category:20th-century American mathematicians Category:21st-century American mathematicians Category:Functional analysts Category:Mathematical analysts Category:Dalhousie University alumni Category:Brown University alumni Category:Lehigh University faculty Category:Canadian emigrants to the United States

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