Some remarks on derivations in Banach algebras and related results.
J. Vukman (1988)
Aequationes mathematicae
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J. Vukman (1988)
Aequationes mathematicae
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T. K. Carne (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Ewa Ligocka (1976)
Annales Polonici Mathematici
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J. Alaminos, R. Payá, A. R. Villena (2003)
Studia Mathematica
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We give a sufficient condition on a C*-algebra to ensure that every weakly compact operator into an arbitrary Banach space can be approximated by norm attaining operators and that every continuous bilinear form can be approximated by norm attaining bilinear forms. Moreover we prove that the class of C*-algebras satisfying this condition includes the group C*-algebras of compact groups.
Yun Sung Choi (1996)
Extracta Mathematicae
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We characterize the norm attaining bilinear forms on L1[0,1], and show that the set of norm attaining ones is not dense in the space of continuous bilinear forms on L1[0,1].
Seán Dineen, Pablo Sevilla-Peris (2002)
Studia Mathematica
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We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.
P. Brückmann, H.-G. Rackwitz (1990)
Mathematische Annalen
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Schmucker, Annett, Czichowski, Günter (1998)
Journal of Lie Theory
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Mehdi Nemati (2015)
Colloquium Mathematicae
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We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.
W. Żelazko (1969)
Colloquium Mathematicae
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Hoffmann, Detlef W., Tignol, Jean-Pierre (1998)
Documenta Mathematica
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Tewari, U.B., Dutta, M., Madan, Shobha (1982)
International Journal of Mathematics and Mathematical Sciences
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