On the Aleksandrov problem for isometric mappings

Themistocles, M Rassias

doi:10.2298/aadm0701018r

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2009

2022

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Cited by 10 publications

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“…is called orthogonality preserving(o.p.) [7,8], and T is said to be an isometry maping [22] if T x = x . To promote the concept, Jacek Chmielinski [6] introduced the notion of approximately orthogonality preserving (a.o.p.)…”

Section: Proof For Anymentioning

confidence: 99%

A New Approximate Birkhoff Orthogonality Type

Zhou

Liu

2022

Eur. J. Math. Anal.

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In this note, we introduce a new approximate Birkhoff orthogonality type and give a characterization for inner product spaces using the approximate orthogonality. We show some general properties of the approximate Birkhoff orthogonality type as well as applications. In particular, we study the relationship between the new approximate Birkhoff orthogonality type and other approximate orthogonality types that have been defined before. Furthermore we study the approximate preserving mapping and give some properties.

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