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1
Content available remote

On a problem of Fell and Doran

100%
Żelazko W.
Colloquium Mathematicum
|
1991
|
tom 62
|
nr 1
31-37
2
Content available remote

Banach's school and topological algebras

100%
Żelazko W.
Banach Center Publications
|
2009
|
tom 87
|
nr 1
45-51
EN
We present here some evidence of the activity of Banach Lwów School of functional analysis in the field of topological algebras. We shall list several results connected with such names as Stanisław Mazur (1905-1981), Maks (Meier) Eidelheit (1910-1943), Stefan Banach (1892-1945) and Andrzej Turowicz (1904-1989) showing that if the war had not interrupted this activity we could expect more interesting results in this direction.
3

An infinite dimensional Banach algebra with all but one maximal abelian subalgebras of dimension two

100%
Żelazko W.
Commentationes Mathematicae
|
2008
|
tom 48
|
nr 1
EN
I construct a unital closed subalgebra of \(L(H)\) with the property announced in the title. Moreover, for any two maxiamal abelian subalgebras of the algebra in question, their intersection consists only of scalar multiples of the unity.
4
Content available remote

Topologically Invertible Elements and Topological Spectrum

64%
Abel M., Żelazko W.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2006
|
tom 54
|
nr 3
257-271
EN
Properties of topologically invertible elements and the topological spectrum of elements in unital semitopological algebras are studied. It is shown that the inversion $x ↦ x^{-1}$ is continuous in every invertive Fréchet algebra, and singly generated unital semitopological algebras have continuous characters if and only if the topological spectrum of the generator is non-empty. Several open problems are presented.
5
Content available remote

A $B_{0}$-algebra without generalized topological divisors of zero

51%
Peimbert H. A., Żelazko W.
Studia Mathematica
|
1985
|
tom 82
|
nr 2
191-198
6
Content available remote

Continuous characters and joint topological spectrum

32%
Żelazko W.
Control and Cybernetics
|
2007
|
tom 36
|
nr 3
859-864
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