On a class of -contractions: hyperinvariant subspaces and intertwining operators.
Gamal', M.F. (2004)
Zapiski Nauchnykh Seminarov POMI
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Gamal', M.F. (2004)
Zapiski Nauchnykh Seminarov POMI
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Ajda Fošner (2012)
Studia Mathematica
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We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X.
Shavkat Abdullaevich Ajupov (1982)
Mathematische Zeitschrift
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H. Roos (1985)
Annales de l'I.H.P. Physique théorique
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D. Przeworska-Rolewicz (1977)
Annales Polonici Mathematici
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Driss Aiat Hadj Ahmed, Rachid Tribak (2015)
Commentationes Mathematicae Universitatis Carolinae
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We give a sufficient condition under which any Jordan automorphism of a triangular algebra is either an automorphism or an anti-automorphism.
John B. Conway, Gabriel Prǎjiturǎ (2005)
Studia Mathematica
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For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.
Cho-Ho Chu, Bruno Iochum (1988)
Mathematische Annalen
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Beatriz Margolis (1972)
Annales Polonici Mathematici
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Driss, Aiat Hadj Ahmed, Ben Yakoub, L'Moufadal (2005)
International Journal of Mathematics and Mathematical Sciences
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Galakhov, E. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Ryotaro Sato (1976)
Colloquium Mathematicae
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Ryotaro Sato (1976)
Colloquium Mathematicae
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Abdelkader Benali, Mohammed Hichem Mortad (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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We are mainly concerned with the result of Kaplansky on the composition of two normal operators in the case in which at least one of the operators is unbounded.
Mohammed Hichem Mortad (2011)
Colloquium Mathematicae
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We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.