Approximate isometries of Hilbert spaces

We improve the Hyers–Ulam stability result for isometries of real Hilbert spaces by removing the surjectivity assumption.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2025-10-23
DOI
https://doi.org/10.1090/proc/17383
Primary Topic
Advanced Banach Space Theory
Type
article
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article

Approximate isometries of Hilbert spaces

Peter Šemrl
Proceedings of the American Mathematical Society
Advanced Banach Space Theory
article

Approximate isometries of Hilbert spaces

Peter Šemrl
article en

Abstract

We improve the Hyers–Ulam stability result for isometries of real Hilbert spaces by removing the surjectivity assumption.

Proceedings of the American Mathematical Society
University of Ljubljana (SI), Institute of Mathematics (BY), Institute of Mathematics, Physics, and Mechanics (SI)
Openalex Percentile: Top 62%
Advanced Banach Space Theory
DOISourceOpenAlex
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Approximate isometries of Hilbert spaces — Peter Šemrl · Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS