An analogue in commutative harmonic analysis of the uniform bounded approximation property of Banach space
M. Bożejko, A. Pełczyński (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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M. Bożejko, A. Pełczyński (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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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...
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.
Chivukula, R.Rao, Sarma, I.Ramabhadra (1987)
International Journal of Mathematics and Mathematical Sciences
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Mursaleen, S. M. H. Zaidi (1985)
Matematički Vesnik
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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...
John C. Morgan II (1975)
Colloquium Mathematicae
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V. Losert, H. Rindler (1987)
Colloquium Mathematicae
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2004)
Studia Mathematica
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This paper studies the Banach-Saks property in rearrangement invariant spaces on the positive half-line. A principal result of the paper shows that a separable rearrangement invariant space E with the Fatou property has the Banach-Saks property if and only if E has the Banach-Saks property for disjointly supported sequences. We show further that for Orlicz and Lorentz spaces, the Banach-Saks property is equivalent to separability although the separable parts of some Marcinkiewicz spaces...
Marek Jarnicki, Peter Pflug
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R. Kühne (1982)
Banach Center Publications
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Jarosław Krawczyk (1988)
Studia Mathematica
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Ivan Guintchev (1982)
Colloquium Mathematicae
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Stephen Scheinberg (1972)
Studia Mathematica
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Richard D. Mabry (2010)
Fundamenta Mathematicae
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It is shown that if A ⊂ ℝ has the same constant shade with respect to all Banach measures, then the same is true of any similarity transformation of A and the shade is not changed by the transformation. On the other hand, if A ⊂ ℝ has constant μ-shade with respect to some fixed Banach measure μ, then the same need not be true of a similarity transformation of A with respect to μ. But even if it is, the μ-shade might be changed by the transformation. To prove such a μ exists, a Hamel...
Tabor, Jacek (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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