Wyniki wyszukiwania

1

Finite generation in C-algebras and Hilbert C-modules

100%

Blecher D., Kania T.

Studia Mathematica

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2014

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tom 224

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nr 2

143-151

EN

We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, C*-algebras satisfy the Dales-Żelazko conjecture.

2

Uncountable sets of unit vectors that are separated by more than 1

100%

Kania T., Kochanek T.

Studia Mathematica

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2016

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tom 232

|

nr 1

19-44

EN

Let X be a Banach space. We study the circumstances under which there exists an uncountable set 𝓐 ⊂ X of unit vectors such that ||x-y|| > 1 for any distinct x,y ∈ 𝓐. We prove that such a set exists if X is quasi-reflexive and non-separable; if X is additionally super-reflexive then one can have ||x-y|| ≥ slant 1 + ε for some ε > 0 that depends only on X. If K is a non-metrisable compact, Hausdorff space, then the unit sphere of X = C(K) also contains such a subset; if moreover K is perfectly normal, then one can find such a set with cardinality equal to the density of X; this solves a problem left open by S. K. Mercourakis and G. Vassiliadis (2015).

3

Maximal left ideals of the Banach algebra of bounded operators on a Banach space

71%

Dales H., Kania T., Kochanek T., Koszmider P., Laustsen N.

Studia Mathematica

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2013

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tom 218

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nr 3

245-286

Ograniczanie wyników

3 Studia Mathematica

3 Kania T.

2 Kochanek T.

1 Blecher D.

1 Dales H.

1 Koszmider P.

1 Laustsen N.

1 2016

1 2014

1 2013

Finite generation in C-algebras and Hilbert C-modules

Uncountable sets of unit vectors that are separated by more than 1

Maximal left ideals of the Banach algebra of bounded operators on a Banach space

Ograniczanie wyników

Wyniki wyszukiwania

Finite generation in C*-algebras and Hilbert C*-modules

Uncountable sets of unit vectors that are separated by more than 1

Maximal left ideals of the Banach algebra of bounded operators on a Banach space

Finite generation in C-algebras and Hilbert C-modules