Isometries of combinatorial Banach spaces

Brech, C.; Ferenczi, V.; Tcaciuc, Adi

Isometries of combinatorial Banach spaces

Author

Brech, C.

Ferenczi, V.

Tcaciuc, Adi

Date

2020

Abstract (summary)

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.

Publication Information

Brech, C. Ferenczi, V., & Tcaciuc, A. (2020). Isometries of combinatorial Banach spaces. Proceedings of the American Mathematical Society, 148(11), 4845-4854.