Schur algebras over -algebras.
Chaisuriya, Pachara, Ong, Sing-Cheong, Wang, Sheng-Wang (2007)
International Journal of Mathematics and Mathematical Sciences
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Chaisuriya, Pachara, Ong, Sing-Cheong, Wang, Sheng-Wang (2007)
International Journal of Mathematics and Mathematical Sciences
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Manuel González, José M. Herrera (2003)
Studia Mathematica
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For a Banach space X such that all quotients only admit direct decompositions with a number of summands smaller than or equal to n, we show that every operator T on X can be identified with an n × n scalar matrix modulo the strictly cosingular operators SC(X). More precisely, we obtain an algebra isomorphism from the Calkin algebra L(X)/SC(X) onto a subalgebra of the algebra of n × n scalar matrices which is triangularizable when X is indecomposable. From this fact we get some information...
Hisaaki Fujita (2003)
Colloquium Mathematicae
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We study associative, basic n × n𝔸-full matrix algebras over a field, whose multiplications are determined by structure systems 𝔸, that is, n-tuples of n × n matrices with certain properties.
David Carlson, Thomas L. Markham (1979)
Czechoslovak Mathematical Journal
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V. Rakočević (1984)
Matematički Vesnik
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Miroslav Fiedler, Frank Hall (2013)
Open Mathematics
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This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern matrix (including sign nonsingularity) properties.
Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Donald Z. Spicer (1973)
Colloquium Mathematicae
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Z. Słodkowski, W. Żelazko (1982)
Banach Center Publications
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S. Levi (1982)
Banach Center Publications
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