On locally pseudoconvexes square algebras.

Jorma Arhippainen

Publicacions Matemàtiques (1995)

  • Volume: 39, Issue: 1, page 89-93
  • ISSN: 0214-1493

Abstract

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Let A be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family Q = {qλ|λ ∈ Λ} of square preserving rλ-homogeneous seminorms (rλ ∈ (0, 1]). We shall show that (A, T(Q)) is a locally m-convex algebra. Furthermore we shall show that A is commutative.

How to cite

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Arhippainen, Jorma. "On locally pseudoconvexes square algebras.." Publicacions Matemàtiques 39.1 (1995): 89-93. <http://eudml.org/doc/41219>.

@article{Arhippainen1995,
abstract = {Let A be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family Q = \{qλ|λ ∈ Λ\} of square preserving rλ-homogeneous seminorms (rλ ∈ (0, 1]). We shall show that (A, T(Q)) is a locally m-convex algebra. Furthermore we shall show that A is commutative.},
author = {Arhippainen, Jorma},
journal = {Publicacions Matemàtiques},
keywords = {Números complejos; Algebra topológica; Algebra localmente convexa; Cuadrado; Topología Hausdorff; Seminormas; locally pseudoconvex square algebras; locally -convex algebra; commutative},
language = {eng},
number = {1},
pages = {89-93},
title = {On locally pseudoconvexes square algebras.},
url = {http://eudml.org/doc/41219},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Arhippainen, Jorma
TI - On locally pseudoconvexes square algebras.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 1
SP - 89
EP - 93
AB - Let A be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family Q = {qλ|λ ∈ Λ} of square preserving rλ-homogeneous seminorms (rλ ∈ (0, 1]). We shall show that (A, T(Q)) is a locally m-convex algebra. Furthermore we shall show that A is commutative.
LA - eng
KW - Números complejos; Algebra topológica; Algebra localmente convexa; Cuadrado; Topología Hausdorff; Seminormas; locally pseudoconvex square algebras; locally -convex algebra; commutative
UR - http://eudml.org/doc/41219
ER -

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