# 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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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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