The translation invariant uniform approximation property for compact groups
Jarosław Krawczyk (1988)
Studia Mathematica
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Jarosław Krawczyk (1988)
Studia Mathematica
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Radosław Łukasik (2017)
Annales Mathematicae Silesianae
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In this paper we study some generalization of invariant means on Banach spaces. We give some sufficient condition for the existence of the invariant mean and some examples where we have not it.
John C. Morgan II (1975)
Colloquium Mathematicae
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
Studia Mathematica
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
Mahshid Dashti, Rasoul Nasr-Isfahani, Sima Soltani Renani (2013)
Colloquium Mathematicae
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Let 𝓐 be a Banach algebra and let ℳ be a W*-algebra. For a homomorphism Φ from 𝓐 into ℳ, we introduce and study ℳ -valued invariant Φ-means on the space of bounded linear maps from 𝓐 into ℳ. We establish several characterizations of existence of an ℳ -valued invariant Φ-mean on B(𝓐,ℳ). We also study the relation between existence of an ℳ -valued invariant Φ-mean on B(𝓐,ℳ) and amenability of 𝓐. Finally, for a character ϕ of 𝓐, we give some descriptions for ϕ-amenability of 𝓐 in...
Junfeng Liu (2017)
Czechoslovak Mathematical Journal
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We discuss the invariant subspace problem of polynomially bounded operators on a Banach space and obtain an invariant subspace theorem for polynomially bounded operators. At the same time, we state two open problems, which are relative propositions of this invariant subspace theorem. By means of the two relative propositions (if they are true), together with the result of this paper and the result of C. Ambrozie and V. Müller (2004) one can obtain an important conclusion that every polynomially...
Pelczyński, A.
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Aharon Atzmon (2001)
Annales de l’institut Fourier
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A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted spaces on locally compact abelian groups, for even weights and .
Walter Rudin (1972)
Studia Mathematica
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Stephen Scheinberg (1972)
Studia Mathematica
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Marek Jarnicki, Peter Pflug
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