On finite same-invariant linear groups.
Kushpel', N.N. (2005)
Journal of Mathematical Sciences (New York)
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Kushpel', N.N. (2005)
Journal of Mathematical Sciences (New York)
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John C. Morgan II (1975)
Colloquium Mathematicae
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Latypov, Ilyas A. (1999)
Journal of Lie Theory
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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.
Aharon Atzmon (2001)
Annales de l’institut Fourier
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A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted spaces on locally compact abelian groups, for even weights and .
Marek Jarnicki, Peter Pflug
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Kondo, Michiro (2004)
International Journal of Mathematics and Mathematical Sciences
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Andrzej Pelc (1987)
Colloquium Mathematicae
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M. Bożejko, A. Pełczyński (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Frank D. Grosshans (1990)
Banach Center Publications
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V. Losert, H. Rindler (1987)
Colloquium Mathematicae
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T. Tonev, K. Yale (2005)
Banach Center Publications
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Leonid Kurdachenko, Alexey Sadovnichenko, Igor Subbotin (2010)
Open Mathematics
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Let F be a field, A be a vector space over F, GL(F, A) be 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 dim F(B/Core G(B)) is finite. In the current article, we study linear groups G such that every subspace of A is either nearly G-invariant or almost G-invariant in the case when G is a soluble p-group where p = char F.