Abstract
In this paper we investigate the algebraic structure of the isometry group of several classical Banach spaces, namely, symmetric sequence spaces, Cp(H) (1≤p<∞,p≠2), L(ℓp,ℓr), 1≤p,r<∞, and bounded operators L(H) endowed with Chan–Li–Tui unitarily invariant (c,p)-norms. We also identify the isometrically invariant subspaces for each of theses settings.
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