Derivations of the algebra . (Dérivations de l'algèbre .)
Ben Yakoub, L., Louly, A. (2009)
Beiträge zur Algebra und Geometrie
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Ben Yakoub, L., Louly, A. (2009)
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Rüdiger Göbel, Warren May (1989)
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José Antonio Cuenca Mira (2002)
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Angel Rodríguez-Palacios (1987)
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Harald Upmeier (1979/80)
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V. Shul'Man (1994)
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The aim of this paper is to prove that derivations of a C*-algebra A can be characterized in the space of all linear continuous operators T : A → A by the conditions T(1) = 0, T(L∩R) ⊂ L + R for any closed left ideal L and right ideal R. As a corollary we get an extension of the result of Kadison [5] on local derivations in W*-algebras. Stronger results of this kind are proved under some additional conditions on the cohomologies of A.
Harald Upmeier (1980)
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M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)
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Andrzej Nowicki (2001)
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Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.
Harald Upmeier (1980)
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B.M. Schein, V.S. Trohimenko (1979)
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J. Słomiński
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CONTENTSIntroduction.................................................................................................................... 5§ 1. Fundamental concepts for quasi-algebras..................................................... 5§ 2. Peano-algebras.................................................................................................... 13§ 3. Peano-algebras and free quasi-algebras....................................................... 25§ 4. Theorems concerning free...
Giorgia Bellomonte, Camillo Trapani (2013)
Studia Mathematica
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