On the diagonalisation of von Neumann regular matrices
R. Puystjens, J. van Geel (1985)
Acta Universitatis Carolinae. Mathematica et Physica
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R. Puystjens, J. van Geel (1985)
Acta Universitatis Carolinae. Mathematica et Physica
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Huylenbrouck, D. (1994)
Portugaliae Mathematica
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Yu Guan, Zhaojia Tong (2015)
Open Mathematics
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In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented. As applications, we give some necessary and sufficient conditions for the existence of solutions. It can be seen that some known results can be regarded as the special cases of this paper.
Bo Stenström (1980)
Publications mathématiques et informatique de Rennes
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Hichem Ben-El-Mechaiekh, Robert Dimand (2007)
Banach Center Publications
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Otto Moeschlin (2006)
Banach Center Publications
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H. Woźniakowski (1971)
Applicationes Mathematicae
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Yoshihiro Nakamura, Fumio Hiai (1987)
Mathematische Zeitschrift
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Michael Skeide (2006)
Banach Center Publications
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The category of von Neumann correspondences from 𝓑 to 𝓒 (or von Neumann 𝓑-𝓒-modules) is dual to the category of von Neumann correspondences from 𝓒' to 𝓑' via a functor that generalizes naturally the functor that sends a von Neumann algebra to its commutant and back. We show that under this duality, called commutant, Rieffel's Eilenberg-Watts theorem (on functors between the categories of representations of two von Neumann algebras) switches into Blecher's Eilenberg-Watts theorem...
Jan Chabrowski, Jianfu Yang (2005)
Annales Polonici Mathematici
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We establish the existence of multiple solutions of an asymptotically linear Neumann problem. These solutions are obtained via the mountain-pass principle and a local minimization.
C. Jayaram (1990)
Colloquium Mathematicae
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Ky Fan (1987)
Mathematische Zeitschrift
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