The second conjugate algebras of Banach algebras.
Wong, Pak-Ken (1994)
International Journal of Mathematics and Mathematical Sciences
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Wong, Pak-Ken (1994)
International Journal of Mathematics and Mathematical Sciences
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Antonio Fernández López, Eulalia García Rus (1986)
Extracta Mathematicae
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Reinhard John (1976)
Colloquium Mathematicae
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Jaroslav Zemánek (1977)
Studia Mathematica
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Osamu Hatori, Go Hirasawa, Takeshi Miura (2010)
Open Mathematics
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Let A and B be unital, semisimple commutative Banach algebras with the maximal ideal spaces M A and M B, respectively, and let r(a) be the spectral radius of a. We show that if T: A → B is a surjective mapping, not assumed to be linear, satisfying r(T(a) + T(b)) = r(a + b) for all a; b ∈ A, then there exist a homeomorphism φ: M B → M A and a closed and open subset K of M B such that for all a ∈ A, where e is unit element of A. If, in addition, and on M B, then T is an algebra isomorphism. ...
Matthew Daws (2007)
Studia Mathematica
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We study representations of Banach algebras on reflexive Banach spaces. Algebras which admit such representations which are bounded below seem to be a good generalisation of Arens regular Banach algebras; this class includes dual Banach algebras as defined by Runde, but also all group algebras, and all discrete (weakly cancellative) semigroup algebras. Such algebras also behave in a similar way to C*- and W*-algebras; we show that interpolation space techniques can be used in place of...
Feinstein, J.F. (1999)
International Journal of Mathematics and Mathematical Sciences
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V. Runde (2001)
Studia Mathematica
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We define a Banach algebra 𝔄 to be dual if 𝔄 = (𝔄⁎)* for a closed submodule 𝔄⁎ of 𝔄*. The class of dual Banach algebras includes all W*-algebras, but also all algebras M(G) for locally compact groups G, all algebras ℒ(E) for reflexive Banach spaces E, as well as all biduals of Arens regular Banach algebras. The general impression is that amenable, dual Banach algebras are rather the exception than the rule. We confirm this impression. We first show that under certain conditions...
Dina Štěrbová (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Donald Z. Spicer (1973)
Colloquium Mathematicae
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M. M. Talabani (1982)
Colloquium Mathematicae
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José Galé (1988)
Studia Mathematica
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Larsen, R. (1971)
Portugaliae mathematica
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