ON APPROXIMATE ISOMETRIES IN BANACH SPACES

Themistocles M. Rassias, Shuhuang Xiang

Abstract


Let X and Y be real or complex Banach spaces and let f:X->Y be an (e,p)-isometry, then for Y= L^q(­E,O,u) (1<q<infty) or Y being a Hilbert space, the pair (X, Y ) is also p-stable for p > 1.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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