Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599154 | Linear Algebra and its Applications | 2015 | 13 Pages |
Abstract
In this paper we investigate the algebraic structure of the isometry group of several classical Banach spaces, namely, symmetric sequence spaces, Cp(H)Cp(H) (1≤p<∞,p≠2), L(ℓp,ℓr)L(ℓp,ℓr), 1≤p,r<∞1≤p,r<∞, and bounded operators L(H)L(H) endowed with Chan–Li–Tui unitarily invariant (c,p)(c,p)-norms. We also identify the isometrically invariant subspaces for each of theses settings.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fernanda Botelho, James Jamison,