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A note on local automorphisms
Ajda Fošner, 2006, original scientific article

Abstract: Let ▫$H$▫ be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of ▫$mathscr{B}(H)$▫, the algebra of all bounded linear operators on a Hilbert space ▫$H$▫, is an automorphism.
Keywords: mathematics, operator theory, automorphism, local automorphism, algebra of operators on a Hilbert space
Published: 07.06.2012; Views: 770; Downloads: 64
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On automorphisms of Banach algebras
Matej Brešar, 2002, original scientific article

Abstract: Podana je razširitev Jacobsonovega izreka o gostoti na Banachove algebre z avtomorfizmi. Zatem so obravnave aplikacije tega izreka. Med drugim so karakterizirani avtomorfizmi ▫$alpha$▫ na Banachovi algebri z lastnostjo, da je preslikava ▫$alpha-1$▫ spektralno omejena.
Keywords: matematika, funkcionalna analiza, teorija operatorjev, avtomorfizem, Banachova algebra, izrek o gostoti, spektralno omejena preslikava, mathematics, functional analysis, operator theory, automorphism, Banach algebra, density theorem, spectrally bounded map
Published: 10.07.2015; Views: 431; Downloads: 62
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