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
BearbeitenWilansky 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]
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
BearbeitenArticles
Bearbeiten- Albert Wilansky: An application of Banach linear functionals to summability. In: Transactions of the American Mathematical Society. 67. Jahrgang, Nr. 1, 1949, ISSN 0002-9947, S. 59–68, doi:10.1090/S0002-9947-1949-0032025-7.
- Albert Wilansky: A necessary and sufficient condition that a summability method be stronger than convergence. In: Bulletin of the American Mathematical Society. 55. Jahrgang, Nr. 10, 1949, ISSN 0002-9904, S. 914–916, doi:10.1090/S0002-9904-1949-09307-2.
- Albert Wilansky, Karl Zeller: Summation of bounded divergent sequences, topological methods. In: Transactions of the American Mathematical Society. 78. Jahrgang, Nr. 2, 1955, ISSN 0002-9947, S. 501–509, doi:10.1090/S0002-9947-1955-0067220-7.
- Albert Wilansky, Karl Zeller: A biorthogonal system which is not a Toeplitz basis. In: Bulletin of the American Mathematical Society. 69. Jahrgang, Nr. 5, 1963, ISSN 0002-9904, S. 725–726, doi:10.1090/S0002-9904-1963-11003-4.
- A. Wilansky: On a characterization of barrelled spaces. In: Proceedings of the American Mathematical Society. 57. Jahrgang, Nr. 2, 1976, ISSN 0002-9939, S. 375, doi:10.1090/S0002-9939-1976-0412761-2.
- Nigel Kalton, Albert Wilansky: Tauberian operators on Banach spaces. In: Proceedings of the American Mathematical Society. 57. Jahrgang, Nr. 2, 1976, ISSN 0002-9939, S. 251–255, doi:10.1090/S0002-9939-1976-0473896-1.
- Saxon, Stephen A., Wilansky, A.: The equivalence of some Banach space problems. In: Colloquium Mathematicum. 37. Jahrgang, Nr. 2. Institute of Mathematics Polish Academy of Sciences, 1977, S. 217–226, doi:10.4064/cm-37-2-217-226 (eudml.org).
- A. K. Snyder, A. Wilansky: The Mazur-Orlicz bounded consistency theorem. In: Proceedings of the American Mathematical Society. 80. Jahrgang, Nr. 2, 1980, ISSN 0002-9939, S. 374–376, doi:10.1090/S0002-9939-1980-0577777-5.
- Wilansky, Albert: Mazur spaces. In: International Journal of Mathematics and Mathematical Sciences. 4. Jahrgang, 1981, S. 39–53, doi:10.1155/S0161171281000021 (eudml.org).
Literatur:
Bearbeiten- Functional analysis. Blaisdell, New York 1964.
- Topics in functional analysis. Springer-Verlag, 1967. Albert Wilansky: 2006 pbk edition. 2006, ISBN 978-3-540-35525-0 (google.com).
- Topology for analysis. Ginn, Waltham, Massachusetts 1970. Albert Wilansky: Dover reprint. 2008, ISBN 978-0-486-46903-4 (google.com).[6]
- Modern methods in topological vector spaces. McGraw-Hill, New York 1978.[7] Albert Wilansky: Dover reprint. 2013, ISBN 978-0-486-49353-4 (google.com).[8]
- Summability through functional analysis. North-Holland, 1984. A. Wilansky: 2000 pbk edition. 2000, ISBN 978-0-08-087196-7 (google.com).
References
Bearbeiten- ↑ Wilansky, A.: Smith numbers. In: Two-Year College Mathematics Journal. 13. Jahrgang, 1982, S. 21, doi:10.2307/3026531, JSTOR:3026531.
- ↑ a b Vorlage:Cite newspaper
- ↑ a b c Zitarelli, David E.: EPADEL: A Sesquicentennial History, 1926–2000. (See personal profile of Albert Wilansky in Chapter 6.)
- ↑ Vorlage:MathGenealogy
- ↑ 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 )
- ↑ Stenger, Allen: Review of Topology for analysis. In: MAA Reviews, Mathematical Association of America. 10. Oktober 2009.
- ↑ 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. Jahrgang, Nr. 3, 1982, ISSN 0273-0979, S. 612–615, doi:10.1090/S0273-0979-1982-15069-8.
- ↑ Stenger, Allen: Review of “Modern Methods in Topological Vector Spaces”. In: MAA Reviews, Mathematical Association of America. 6. April 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