On the spectral radius in locally multiplicatively convex topological algebras
Dina Štěrbová (1977)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Displaying similar documents to “On the fundamental inequality in locally multiplicatively convex algebras”
On the spectral radius in locally multiplicatively convex topological algebras
Generalization of the Shirali-Ford theorem in Hermitian locally multiplicatively convex algebras
Dina Štěrbová (1985)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Square roots of elements with an unbounded spectrum
Dina Štěrbová (1984)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Vector space isomorphisms of non-unital reduced Banach *-algebras
Rachid ElHarti, Mohamed Mabrouk (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Let A and B be two non-unital reduced Banach *-algebras and φ: A → B be a vector space isomorphism. The two following statement holds: If φ is a *-isomorphism, then φ is isometric (with respect to the C*-norms), bipositive and φ maps some approximate identity of A onto an approximate identity of B. Conversely, any two of the later three properties imply that φ is a *-isomorphism. Finally, we show that a unital and self-adjoint spectral isometry between semi-simple Hermitian Banach algebras...