Completely contractive maps between -algebras.
Sulaiman, W.T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Sulaiman, W.T. (2002)
International Journal of Mathematics and Mathematical Sciences
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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.
Martins, Nuno, Severino, Ricardo, Sousa Ramos, J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Toshiyuki Takasaki, Jun Tomiyama (1983)
Mathematische Zeitschrift
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Dumitru Buşneag, Mircea Ghiţă (2010)
Open Mathematics
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This paper represents a start in the study of epimorphisms in some categories of Hilbert algebras. Even if we give a complete characterization for such epimorphisms only for implication algebras, the following results will make possible the construction of some examples of epimorphisms which are not surjective functions. Also, we will show that the study of epimorphisms of Hilbert algebras is equivalent with the study of epimorphisms of Hertz algebras.
Władysław A. Majewski, Marcin Marciniak (2007)
Banach Center Publications
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The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.
Altinisik, Ercan, Tuglu, Naim, Haukkanen, Pentti (2007)
International Journal of Mathematics and Mathematical Sciences
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Zeng, Li, Xiao, Ming, Huang, Tin-Zhu (2009)
Applied Mathematics E-Notes [electronic only]
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Chaisuriya, Pachara, Ong, Sing-Cheong, Wang, Sheng-Wang (2007)
International Journal of Mathematics and Mathematical Sciences
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Joiţa, Maria, Costache, Tania-Luminiţa, Zamfir, Mariana (2007)
Surveys in Mathematics and its Applications
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Kapitonov, Boris V., Perla Menzala, G. (2003)
Portugaliae Mathematica. Nova Série
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Maksim Sokolov (2005)
Open Mathematics
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In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.