General Mazur–Ulam type theorems and some applications

Research output: Chapter in Book/Report/Conference proceedingChapter

18 Citations (Scopus)

Abstract

Recently we have presented several structural results on certain isometries of spaces of positive definite matrices and on those of unitary groups. The aim of this paper is to put those previous results into a common perspective and extend them to the context of operator algebras, namely, to that of von Neumann factors.

Original languageEnglish
Title of host publicationOperator Theory: Advances and Applications
PublisherSpringer International Publishing
Pages311-342
Number of pages32
Volume250
Publication statusPublished - 2015

Publication series

NameOperator Theory: Advances and Applications
Volume250
ISSN (Print)02550156
ISSN (Electronic)22964878

Fingerprint

Positive definite matrix
Operator Algebras
Unitary group
Theorem
Isometry
Context

Keywords

  • Generalized distance measures
  • Inverted Jordan triple map
  • Jordan triple map
  • Mazur–Ulam type theorems
  • Operator algebras
  • Positive definite cone
  • Unitary group

ASJC Scopus subject areas

  • Analysis

Cite this

Molnár, L. (2015). General Mazur–Ulam type theorems and some applications. In Operator Theory: Advances and Applications (Vol. 250, pp. 311-342). (Operator Theory: Advances and Applications; Vol. 250). Springer International Publishing.

General Mazur–Ulam type theorems and some applications. / Molnár, L.

Operator Theory: Advances and Applications. Vol. 250 Springer International Publishing, 2015. p. 311-342 (Operator Theory: Advances and Applications; Vol. 250).

Research output: Chapter in Book/Report/Conference proceedingChapter

Molnár, L 2015, General Mazur–Ulam type theorems and some applications. in Operator Theory: Advances and Applications. vol. 250, Operator Theory: Advances and Applications, vol. 250, Springer International Publishing, pp. 311-342.
Molnár L. General Mazur–Ulam type theorems and some applications. In Operator Theory: Advances and Applications. Vol. 250. Springer International Publishing. 2015. p. 311-342. (Operator Theory: Advances and Applications).
Molnár, L. / General Mazur–Ulam type theorems and some applications. Operator Theory: Advances and Applications. Vol. 250 Springer International Publishing, 2015. pp. 311-342 (Operator Theory: Advances and Applications).
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