Albert Wilansky Explained

Albert "Tommy" Wilansky (13 September 1921, St. John's, Newfoundland – 3 July 2017, Bethlehem, Pennsylvania) was a Canadian-American mathematician, known for introducing Smith numbers.^{[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.

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.^[4] (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

• Wilansky. Albert. An application of Banach linear functionals to summability. Transactions of the American Mathematical Society. 67. 1. 1949. 59–68. 0002-9947. 10.1090/S0002-9947-1949-0032025-7. free.
• Wilansky. Albert. 2. A necessary and sufficient condition that a summability method be stronger than convergence. Bulletin of the American Mathematical Society. 55. 10. 1949. 914–916. 0002-9904. 10.1090/S0002-9904-1949-09307-2. free.
• Wilansky. Albert. 2. Zeller. Karl. Karl Longin Zeller. Summation of bounded divergent sequences, topological methods. Transactions of the American Mathematical Society. 78. 2. 1955. 501–509. 0002-9947. 10.1090/S0002-9947-1955-0067220-7. free.
• Wilansky. Albert. 2. Zeller. Karl. A biorthogonal system which is not a Toeplitz basis. Bulletin of the American Mathematical Society. 69. 5. 1963. 725–726. 0002-9904. 10.1090/S0002-9904-1963-11003-4. free.
• Wilansky. A.. 2. On a characterization of barrelled spaces. Proceedings of the American Mathematical Society. 57. 2. 1976. 375. 0002-9939. 10.1090/S0002-9939-1976-0412761-2. free.
• Kalton. Nigel. Nigel Kalton. Wilansky. Albert. 2. Tauberian operators on Banach spaces. Proceedings of the American Mathematical Society. 57. 2. 1976. 251–255. 0002-9939. 10.1090/S0002-9939-1976-0473896-1. free.
• Saxon, Stephen A.. Wilansky, A.. 2. The equivalence of some Banach space problems. Colloquium Mathematicum. 37. 2. 217–226. Institute of Mathematics Polish Academy of Sciences. 1977. 10.4064/cm-37-2-217-226. free.
• Snyder. A. K.. Wilansky. A.. 2. The Mazur-Orlicz bounded consistency theorem. Proceedings of the American Mathematical Society. 80. 2. 1980. 374–376. 0002-9939. 10.1090/S0002-9939-1980-0577777-5. free.
• Wilansky, Albert. 2. Mazur spaces. International Journal of Mathematics and Mathematical Sciences. 4. 1981. 39–53. 10.1155/S0161171281000021. free.

Books

• Book: Functional analysis. New York. Blaisdell. 1964.
• Book: Topics in functional analysis.

  notes by W. D. Laverell

  . Springer-Verlag. 1967. Book: 2006 pbk edition. 978-3-540-35525-0. Wilansky. Albert. 14 November 2006.
• Book: Topology for analysis. Waltham, Massachusetts. Ginn. 1970. Book: Dover reprint. 2008. 9780486469034. Wilansky. Albert. ^[5]
• Book: Modern methods in topological vector spaces. New York. McGraw-Hill. 1978. ^[6] Book: Dover reprint. 2013. 9780486493534. Wilansky. Albert. ^[7]
• Book: Summability through functional analysis. North-Holland. 1984. Book: 2000 pbk edition. 9780080871967. Wilansky. A.. April 2000.

References

1. Wilansky, A.. Smith numbers. Two-Year College Mathematics Journal. 13. 1982. 21. 10.2307/3026531. 3026531.
2. News: Obituary. Albert Wilansky. The Morning Call. Allentown, Pennsylvania. July 11, 2017.
3. Web site: Zitarelli, David E.. EPADEL: A Sesquicentennial History, 1926–2000. (See personal profile of Albert Wilansky in Chapter 6.)
4. Web site: Spectral Decomposition of Matrices for High School Students. Mathematical Association of America. (with link to PDF of article, which was published in Mathematics Magazine)
5. Web site: Stenger, Allen. Review of Topology for analysis. MAA Reviews, Mathematical Association of America. October 10, 2009.
6. Retherford. James R.. Book Review: Locally convex spaces by H. Jarchow and Modern methods in topological vector spaces by Albert Wilansky. Bulletin of the American Mathematical Society. 7. 3. 1982. 612–615. 0273-0979. 10.1090/S0273-0979-1982-15069-8.
7. Web site: Stenger, Allen. April 6, 2015. Review of Modern Methods in Topological Vector Spaces. MAA Reviews, Mathematical Association of America.