Hyperinvariant subspaces of operators on Hilbert spaces
Štefan Drahovský, Michal Zajac (1994)
Banach Center Publications
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Štefan Drahovský, Michal Zajac (1994)
Banach Center Publications
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Rodrigo Arocena, Fernando Montana (1993)
Colloquium Mathematicae
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Several generalized moment problems in two dimensions are particular cases of the general problem of giving conditions that ensure that two isometries, with domains and ranges contained in the same Hilbert space, have commutative unitary extensions to a space that contains the given one. Some results concerning this problem are presented and applied to the extension of functions of positive type.
Rodrigo Arocena (1997)
Banach Center Publications
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The aim of this paper is to give a very brief account of some applications of the method of unitary extensions of isometries to interpolation and extension problems.
Laurian Suciu (2006)
Extracta Mathematicae
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Some invariant subspaces for the operators A and T acting on a Hilbert space H and satisfying T*AT ≤ A and A ≥ 0, are presented. Especially, the largest invariant subspace for A and T on which the equality T* AT = A occurs, is studied in connections to others invariant or reducing subspaces for A, or T. Such subspaces are related to the asymptotic form of the subspace quoted above, this form being obtained using the operator limit of the sequence {TAT; n ≥ 1}. More complete results are...
Carlsson, M. (2011)
The New York Journal of Mathematics [electronic only]
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Vakhania, N. (1994)
Georgian Mathematical Journal
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Yves Raynaud (2004)
Revista Matemática Complutense
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We show that the range of a contractive projection on a Lebesgue-Bochner space of Hilbert valued functions L(H) is isometric to a l-direct sum of Hilbert-valued L-spaces. We explicit the structure of contractive projections. As a consequence for every 1 < p < ∞ the class C of l-direct sums of Hilbert-valued L-spaces is axiomatizable (in the class of all Banach spaces).
Rashid, M.H.M., Noorani, M.S.M., Saari, A.S. (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Zagorodnyuk, Sergey M. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Pei Wu (1994)
Banach Center Publications
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This is a survey paper on additive combinations of certain special-type operators on a Hilbert space. We consider (finite) linear combinations, sums, convex combinations and/or averages of operators from the classes of diagonal operators, unitary operators, isometries, projections, symmetries, idempotents, square-zero operators, nilpotent operators, quasinilpotent operators, involutions, commutators, self-commutators, norm-attaining operators, numerical-radius-attaining operators, irreducible...
Vorobyov, I.V. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Bachir, A., Segres, A. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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