On rank one matrices and invariant subspaces.
Osnaga, Silvia Monica (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Osnaga, Silvia Monica (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Marques de Sá, Eduardo (1989)
Portugaliae mathematica
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L. Makar-Limanov (2001)
Annales Polonici Mathematici
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In my talk I am going to remind you what is the AK-invariant and give examples of its usefulness. I shall also discuss basic conjectures about this invariant and some positive and negative results related to these conjectures.
Marek Jarnicki, Peter Pflug
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John C. Morgan II (1975)
Colloquium Mathematicae
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
Studia Mathematica
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
Jian-Qiang, Li, Zexuan, Zhu, Zhen, Ji, Hai-Long, Pei (2010)
Mathematical Problems in Engineering
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Queiró, João Filipe (1985-1986)
Portugaliae mathematica
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Joseph Johnson (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Peter Pflug, Włodzimierz Zwonek (1998)
Annales Polonici Mathematici
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Mircea Puta (1984)
Časopis pro pěstování matematiky
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Nicos Karcanias, Ulviye Başer (1994)
Kybernetika
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S. V. Astashkin, F. A. Sukochev (2008)
Banach Center Publications
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A new set of sufficient conditions under which every sequence of independent identically distributed functions from a rearrangement invariant (r.i.) space on [0,1] spans there a Hilbertian subspace are given. We apply these results to resolve open problems of N. L. Carothers and S. L. Dilworth, and of M. Sh. Braverman, concerning such sequences in concrete r.i. spaces.