Tsirelson Space

Tsirelson Space

Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1311-3538-5
Объём: 76 страниц
Масса: 135 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! In mathematics, Tsirelson space T is an example of a reflexive Banach space in which neither an l p space nor a c0 space can be embedded. It was introduced by B. S. Tsirelson in 1974. In the same year, Figiel and Johnson published a related article; there they used T for the dual of the Tsirelson space. The symmetric Tsirelson space S(T) is polynomially reflexive and it has the approximation property. As with T, it is reflexive and no lp space can be embedded into it. Since it is symmetric, it can be defined even on an uncountable supporting set, giving an example of non-separable polynomially reflexive Banach space.

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