Corrections to “Radial limits in co-invariant subspaces"
D. R. Georgijević (1987)
Matematički Vesnik
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D. R. Georgijević (1987)
Matematički Vesnik
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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.
Junfeng Liu (2017)
Czechoslovak Mathematical Journal
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We discuss the invariant subspace problem of polynomially bounded operators on a Banach space and obtain an invariant subspace theorem for polynomially bounded operators. At the same time, we state two open problems, which are relative propositions of this invariant subspace theorem. By means of the two relative propositions (if they are true), together with the result of this paper and the result of C. Ambrozie and V. Müller (2004) one can obtain an important conclusion that every polynomially...
Baranov, A.D. (2005)
Zapiski Nauchnykh Seminarov POMI
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John C. Morgan II (1975)
Colloquium Mathematicae
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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.
Marek Jarnicki, Peter Pflug
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Wang, Ju-Kwei (1971)
Portugaliae mathematica
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Jarosław Krawczyk (1988)
Studia Mathematica
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Mircea Puta (1984)
Časopis pro pěstování matematiky
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Muminov, K.K. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Ali Abkar, Hakan Hedenmalm (1998)
Publicacions Matemàtiques
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The lattice of invariant subspaces of several Banach spaces of analytic functions on the unit disk, for example the Bergman spaces and the Dirichlet spaces, have been studied recently. A natural question is to what extent these investigations carry over to analogously defined spaces on an annulus. We consider this question in the context of general Banach spaces of analytic functions on finitely connected domains Ω. The main result reads as follows: Assume that B is a Banach space of...
Leonid Kurdachenko, Alexey Sadovnichenko, Igor Subbotin (2009)
Open Mathematics
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Let F be a field, A be a vector space over F, and GL(F,A) the group of all automorphisms of the vector space A. A subspace B of A is called nearly G-invariant, if dimF(BFG/B) is finite. A subspace B is called almost G-invariant, if dimF(B/CoreG(B)) is finite. In the present article we begin the study of subgroups G of GL(F,A) such that every subspace of A is either nearly G-invariant or almost G-invariant. More precisely, we consider the case when G is a periodic p′-group where p = charF. ...