Banach spaces isomorphic to proper M-ideals
David Yost (1988)
Colloquium Mathematicae
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David Yost (1988)
Colloquium Mathematicae
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L. Waelbroeck (1983)
Studia Mathematica
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Heydar Radjavi, Peter Šemrl (2008)
Studia Mathematica
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Let X and Y be Banach spaces and ℬ(X) and ℬ(Y) the algebras of all bounded linear operators on X and Y, respectively. We say that A,B ∈ ℬ(X) quasi-commute if there exists a nonzero scalar ω such that AB = ωBA. We characterize bijective linear maps ϕ : ℬ(X) → ℬ(Y) preserving quasi-commutativity. In fact, such a characterization can be proved for much more general algebras. In the finite-dimensional case the same result can be obtained without the bijectivity assumption.
Jesús M. Fernández Castillo, Yolanda Moreno (2002)
Extracta Mathematicae
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Seddighin, Morteza (1991)
International Journal of Mathematics and Mathematical Sciences
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Kazimierz Głazek, Anzelm Iwanik (1974)
Colloquium Mathematicum
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Camillo Trapani (2004)
Studia Mathematica
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Seddighin, Morteza (1989)
International Journal of Mathematics and Mathematical Sciences
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Félix Cabello Sánchez, Jesús M. F. Castillo, Fernando Sánchez (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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N. Kalton (1995)
Studia Mathematica
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We construct a quasi-Banach space X which contains no basic sequence.
Ziya Argün, K. Rowlands (1994)
Studia Mathematica
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D. Van Dulst (1974)
Compositio Mathematica
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