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Journal ArticleDOI

Banach algebras with involution

Vlastimil Pták
- 01 Sep 1972 - 
- Vol. 6, Iss: 3, pp 245-290
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This article is published in Manuscripta Mathematica.The article was published on 1972-09-01. It has received 63 citations till now. The article focuses on the topics: Jordan algebra & Division algebra.

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Book

Non-Associative Normed Algebras

TL;DR: The first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.
Journal ArticleDOI

Symmetry and nonsymmetry for locally compact groups

TL;DR: In this paper, the class [S] of locally compact groups G is considered, for which the algebra L to the power of 1(G) is symmetric (=Hermitian).
Journal ArticleDOI

Symmetric topological*-algebras

TL;DR: In this paper, it was shown that the symmetry of the projective tensor product of two unital Frechet l.m.c.algebras is always passed to E, F, while the converse occurs when moreover either of them is commutative.
Journal ArticleDOI

A result concerning additive functions in Hermitian Banach *-algebras and an application

J. Vukman
TL;DR: In this article, the authors generalize Kurepa's extension of the Jordan-Neumann characterization of pre-Hilbert space to complex hermitian Banach *-algebras.
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Journal ArticleDOI

Eine metrische Kennzeichnung der selbstadjungierten Operatoren

TL;DR: GELFAND and NEUMARK as discussed by the authors bewiesen a BANACHsche Algebra with Einheitselement, i.e., an algebra with einer Involution, den Bedingungen 2 ~ 3 ~ and 5 ~ geniigt.