Isometries of combinatorial Banach spaces

C. Brech; V. Ferenczi; A. Tcaciuc

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arXiv · 1907.06815

Isometries of combinatorial Banach spaces

C. Brech·V. Ferenczi·A. Tcaciuc

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Abstract

We prove that every isometry between two combinatorial spaces is determined by a permutation of the canonical unit basis combined with a change of signs. As a consequence, we show that in the case of Schreier spaces, all the isometries are given by a change of signs of the elements of the basis. Our results hold for both the real and the complex cases.

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BibTeX RIS

C. Brech, V. Ferenczi, A. Tcaciuc. 2019-11-14. Isometries of combinatorial Banach spaces. https://arxiv.org/abs/1907.06815

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