A non-locally convex topological algebra with all commutative subalgebras locally convex
Studia Mathematica (1996)
- Volume: 120, Issue: 1, page 89-94
- ISSN: 0039-3223
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Abstract
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topŻelazko, W.. "A non-locally convex topological algebra with all commutative subalgebras locally convex." Studia Mathematica 120.1 (1996): 89-94. <http://eudml.org/doc/216324>.
@article{Żelazko1996,
abstract = {We construct a complete multiplicatively pseudoconvex algebra with the property announced in the title. This solves Problem 25 of [6].},
author = {Żelazko, W.},
journal = {Studia Mathematica},
keywords = {all commutative subalgebras locally convex; complete multiplicatively pseudoconvex algebra},
language = {eng},
number = {1},
pages = {89-94},
title = {A non-locally convex topological algebra with all commutative subalgebras locally convex},
url = {http://eudml.org/doc/216324},
volume = {120},
year = {1996},
}
TY - JOUR
AU - Żelazko, W.
TI - A non-locally convex topological algebra with all commutative subalgebras locally convex
JO - Studia Mathematica
PY - 1996
VL - 120
IS - 1
SP - 89
EP - 94
AB - We construct a complete multiplicatively pseudoconvex algebra with the property announced in the title. This solves Problem 25 of [6].
LA - eng
KW - all commutative subalgebras locally convex; complete multiplicatively pseudoconvex algebra
UR - http://eudml.org/doc/216324
ER -
References
top- [1] A. Kokk and W. Żelazko, On vector spaces and algebras with maximal locally pseudoconvex topologies, Studia Math. 112 (1995), 195-201. Zbl0837.46037
- [2] A. Mallios, Topological Algebras. Selected Topics, North-Holland, Amsterdam, 1986.
- [3] S. Rolewicz, Metric Linear Spaces, PWN, Warszawa, 1972.
- [4] L. Waelbroeck, Topological Vector Spaces and Algebras, Lecture Notes in Math. 230, Springer, 1971.
- [5] W. Żelazko, Selected Topics in Topological Algebras, Aarhus Univ. Lecture Notes 31, 1971. Zbl0221.46041
- [6] W. Żelazko, On certain open problems in topological algebras, Rend. Sem. Mat. Fis. Milano 59 (1989), 1992, 49-58. Zbl0755.46019
- [7] W. Żelazko, A non-Banach m-convex algebra all of whose closed commutative subalgebras are Banach algebras, Studia Math. 119 (1996), 195-198. Zbl0879.46023
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