Noncommutative uniform algebras

Mati Abel; Krzysztof Jarosz

Studia Mathematica (2004)

  • Volume: 162, Issue: 3, page 213-218
  • ISSN: 0039-3223

Abstract

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We show that a real Banach algebra A such that ||a²|| = ||a||² for a ∈ A is a subalgebra of the algebra C ( X ) of continuous quaternion-valued functions on a compact set X.

How to cite

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Mati Abel, and Krzysztof Jarosz. "Noncommutative uniform algebras." Studia Mathematica 162.3 (2004): 213-218. <http://eudml.org/doc/286105>.

@article{MatiAbel2004,
abstract = {We show that a real Banach algebra A such that ||a²|| = ||a||² for a ∈ A is a subalgebra of the algebra $C_\{ℍ\}(X)$ of continuous quaternion-valued functions on a compact set X.},
author = {Mati Abel, Krzysztof Jarosz},
journal = {Studia Mathematica},
keywords = {Banach algebra; uniform algebra; function algebra},
language = {eng},
number = {3},
pages = {213-218},
title = {Noncommutative uniform algebras},
url = {http://eudml.org/doc/286105},
volume = {162},
year = {2004},
}

TY - JOUR
AU - Mati Abel
AU - Krzysztof Jarosz
TI - Noncommutative uniform algebras
JO - Studia Mathematica
PY - 2004
VL - 162
IS - 3
SP - 213
EP - 218
AB - We show that a real Banach algebra A such that ||a²|| = ||a||² for a ∈ A is a subalgebra of the algebra $C_{ℍ}(X)$ of continuous quaternion-valued functions on a compact set X.
LA - eng
KW - Banach algebra; uniform algebra; function algebra
UR - http://eudml.org/doc/286105
ER -

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