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38 050 (0,172s)

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Carl's inequality for quasi-Banach spaces

Carl's inequality relates several quantities from the geometry of Banach spaces. The classical proof relies heavily on the Hahn-Banach Theorem, which is known to fail for quasi-Banach spaces. We use a diff...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

On binormality in non-separable Banach spaces

We study binormality, a separation property of the norm and weak topologies of a Banach space. We show that every Banach space which belongs to a P-class is binormal. We also show that the asplundness of a Bana...

BA - Obecná matematika

  • 2010
  • Jx
Result

On bases in Banach spaces

We investigate various kinds of bases in infinite dimensional Banach spaces Banach spaces and show that in a separable Banach space a Hamel basis cannot be analytic,whereas there are non-separable...

BA - Obecná matematika

  • 2005
  • Jx
Result

Spring school on analysis in Banach spaces

Spring school on analysis in Banach spaces...

BA - Obecná matematika

  • 2001
  • W
Result

Duality in Quotient Banach Spaces.

The paper studies duality in the category of quotient Banach spaces.

BA - Obecná matematika

  • 2000
  • Jx
Result

Non-universal families of separable Banach spaces

We prove that if C is a family of separable Banach spaces which is analytic universal for all separable Banach spaces, then there exists a separable Banach space separable Banach spac...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spaces. The second is to extend the criterion for the precompactness of sets in the Lebesgue spaces Lp(ℝn )...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Unital Banach algebras not isomorphic to Calkin algebras of separable Banach spaces

Recent developments in Banach space theory provided unexpected examples of unital Banach algebras that are isomorphic to Calkin algebras of Banach spaces, however no example of a unital Banach alg...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

Complex Banach spaces with Valdivia dual unit ball

We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems of real spaces. Further we study relationship of these complex Banach spaces with t...

BA - Obecná matematika

  • 2005
  • Jx
Result

Genericity of Fréchet smooth spaces

If a separable Banach space X contains an isometric copy of every separable reflexive Fréchet smooth Banach space, then X contains an isometric copy of every separable Banach space. The same concl...

BA - Obecná matematika

  • 2012
  • Jx
  • Link
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