B. Tsirelson

"My space"

ideas noted

"My space" has appeared in my sole work on Banach spaces:

B.S. Tsirelson, "Not every Banach space contains an imbedding of lp or c0", Functional Analysis and its Applications 8:2 (1974), 138-141 (translated from Russian). [MR50#2871] [download]

See also:

P.G. Casazza and T.J. Shura, "Tsirelson's space." Lecture Notes in Math., Vol. 1363, Springer-Verlag, 1989, 204 pp.

E. Odell and Th. Schlumprecht, "Distortion and stabilized structure in Banach spaces; new geometric phenomena for Banach and Hilbert spaces." Proceedings of the International Congress of Mathematicians, Zurich, Switzerland, 1994. Birkhauser Verlag, Basel, 1995; pp. 955-965.

Tsirelson's space was the first truly nonclassical Banach space.
(Odell and Schlumprecht, p. 957)

My reminiscences

Citing works, 1974-2004

(Including works that do not cite my original paper but still deal with "Tsirelson's space" or its relatives.)

Geometry of Banach spaces

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Alspach, Altshuler, Alvarez, Androulakis, Argyros, Bellenot, Bernues, Blanco, Bourgain, Bor-Luh Lin, Bukhvalov, Casazza, Castillo, Deliyanni, Deville, Dilworth, Edgington, Farmaki, Felouzis, Fetter, Figiel, Frankiewich, Gasparis, Giannopoulos, Girardi, Godefroy, Gonzalez, Gonzalo, Gowers, Guerre-Delabrière, Haydon, Johnson, Judd, Kalton, Kutzarova, Leung, Lindenstrauss, Lohman, Lopez-Abad, Lozanovskii, Manoussakis, Matouskova, Maurey, Mercourakis, Milman, Nielsen, Odell, Onieva, Pascual, Pisier, Rosenthal, Ryll-Nardzewski, Sanchez, Schechtman, Schlumprecht, Schura, Straeuli, Tang, Todorcevic, Tokarev, Tolias, Tomczak-Jaegermann, Tsarpalias, Tzafriri, Veksler, Wagner, Yost, Zhong, Zizler. (Detail)


Polynomial and holomorphic (analytic) functions on Banach spaces

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Alencar, Aron, Barton, Boyd, Cole, Defant, Diaz, Dineen, Ferrera, Floret, Fricke, Galindo, Gamelin, Garcia, Gomez, Gonzalez, Gutierrez, Hájek, Jaramillo, Lindstrom, Lourenco, Maestre, Moraes, Mujica, Paques, Prieto, Ryan, Timoney, Valdivia. (Detail)


Other topics (Detail)

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