Extremely strict ideals in Banach spaces
Article Type
Research Article
Publication Title
Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Abstract
Motivated by the notion of an ideal introduced by Godefroy et al. (Studia Math. 104 (1993) 13-59), in this article, we introduce and study the notion of an extremely strict ideal. For a Poulsen simplex K, we show that the space of affine continuous functions on K is an extremely strict ideal in the space of continuous functions on K. For injective tensor product spaces, we prove a cancelation theorem for extremely strict ideals. We also exhibit non-reflexive Banach spaces which are not strict ideals in their fourth dual.
First Page
381
Last Page
387
DOI
10.1007/s12044-016-0284-5
Publication Date
8-1-2016
Recommended Citation
Rao, T. S.S.R.K., "Extremely strict ideals in Banach spaces" (2016). Journal Articles. 4205.
https://digitalcommons.isical.ac.in/journal-articles/4205