1.

Record Nr.

UNINA9910983365603321

Autore

Jung Soon-Mo

Titolo

Aleksandrov-Rassias Problems on Distance Preserving Mappings / / by Soon-Mo Jung

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

9783031776137

3031776135

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (349 pages)

Collana

Frontiers in Mathematics, , 1660-8054

Disciplina

515.7

Soggetti

Functional analysis

Geometry

Topology

Functional Analysis

Anàlisi funcional

Geometria

Topologia

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Preface -- Preliminaries -- Aleksandrov Problem -- Aleksandrov-Benz Problem -- Aleksandrov-Rassias Problems -- Rassias and Xiang’s Partial Solutions -- Inequalities for Distances between Points -- Jung, Lee, and Nam’s Partial Solutions -- Miscellaneous -- Bibliography -- Index.

Sommario/riassunto

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process. In addition, effort has been put into writing this book so that readers can easily understand the content, saving readers the trouble of having to search the literature on their own. In fact, this book logically and kindly introduces the basic theories of related fields.