Generalized group algebras and their bundles.
Schochetman, I.E. (1982)
International Journal of Mathematics and Mathematical Sciences
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Schochetman, I.E. (1982)
International Journal of Mathematics and Mathematical Sciences
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Kitchen, J.W., Robbins, D.A. (1994)
International Journal of Mathematics and Mathematical Sciences
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Wojciech Chojnacki (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kitchen, J.W., Robbins, D.A. (1993)
International Journal of Mathematics and Mathematical Sciences
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Helmut Hofer, Kris Wysocki, Eduard Zehnder (2007)
Journal of the European Mathematical Society
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А.В. Коптев (1995)
Sibirskij matematiceskij zurnal
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Joseph W. Kitchen, David A. Robbins
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PrefaceLet A be a commutative Banach algebra with maximal ideal space ∆ and let ^: A → C₀(∆) be the Gelfand representation of A. If M is a Banach module over A, then a bounded linear map φ: M → M₀, will be called a representation of M of Gelfund type if M₀ is a Banach module over C₀(∆) and φ is ^-linear in the sense that φ(ax) = âφ(x) for all a ∈ A and x ∈ M. Two such representations have been studied previously. In [50] and [51] Robbins describes such a representation in which M₀, is...
Donald Z. Spicer (1973)
Colloquium Mathematicae
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V. Rakočević (1984)
Matematički Vesnik
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Hõim, Terje, Robbins, D.A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Bertram Yood (2008)
Studia Mathematica
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The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.
Kitchen, Joseph W., Robbins, David A. (1984)
International Journal of Mathematics and Mathematical Sciences
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Antonio Fernández López, Eulalia García Rus (1986)
Extracta Mathematicae
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Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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Let 𝓟𝓑 be the category of principal bundles and principal bundle homomorphisms. We describe completely the product preserving gauge bundle functors (ppgb-functors) on 𝓟𝓑 and their natural transformations in terms of the so-called admissible triples and their morphisms. Then we deduce that any ppgb-functor on 𝓟𝓑 admits a prolongation of principal connections to general ones. We also prove a "reduction" theorem for prolongations of principal connections into principal ones by means...