Results 11 to 20 of about 294,494 (242)
Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators [PDF]
Journal of Functional Analysis, 2001 The authors study algebraic properties of small Hankel operators on Bergman spaces of bounded symmetric domains \(\Omega\subset \mathbb{C}^n\). Here, the Bergman space \(L^2_a(\Omega)\) is the closed subspace of \(L^2(\Omega)\) consisting of analytic functions and the small Hankel operator \(\Gamma_\varphi\) with symbol \(\varphi\in L^2(\Omega)\) is ...
Guo, Kunyu, Zheng, Dechao
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Operator equations and invariant subspaces [PDF]
Le Matematiche, 1994 Banach space operators acting on some fixed space X are considered. If two such operators A and B verify the condition A2=B2 and if A has nontrivial hyperinvariant subspaces, then B has nontrivial invariant subspaces.
Valentin Matache
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Operators associated with soft and hard spectral edges from unitary ensembles. [PDF]
, 2008 Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theory of integrable operators associated with soft and hard edges of eigenvalues distributions of random matrices. Such Tracy--Widom operators are realized as
Blower, Gordon
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Manifolds of Hilbert Space Projections. [PDF]
, 2010 The Hardy space H2 () for the upper half-plane together with a multiplicative group of unimodular functions u() = exp(i(11 + ... +nn)), with n, gives rise to a manifold of orthogonal projections for the subspaces u() H2 () of L2 ().
Levene, R. H., Power, Stephen C.
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On Invariant Graph Subspaces [PDF]
Integral Equations and Operator Theory, 2016 In this paper we discuss the problem of decomposition for unbounded $2\times 2$ operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assumptions, we show that such a pair of subspaces decomposes the operator matrix if and only if its domain is invariant for the angular operators associated with the graphs.
Makarov, Konstantin A. +2 more
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INVARIANT SUBSPACES IN THE BIDISC AND WANDERING SUBSPACES [PDF]
Journal of the Australian Mathematical Society, 2008 Abstract Let M be a forward-shift-invariant subspace and N a backward-shift-invariant subspace in the Hardy space H2 on the bidisc. We assume that $H^2=N \oplus M$ . Using the wandering subspace of M and N, we study the relations between M and N. Moreover we study M and N using several natural operators defined by shift operators on H2.
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The closedness of shift invariant subspaces in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$
Journal of Inequalities and Applications, 2018 In this paper, we consider the closedness of shift invariant subspaces in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$. We first define the shift invariant subspaces generated by the shifts of finite functions in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1 ...
Qingyue Zhang
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Modeling Sampling in Tensor Products of Unitary Invariant Subspaces
Journal of Function Spaces, 2016 The use of unitary invariant subspaces of a Hilbert space H is nowadays a recognized fact in the treatment of sampling problems. Indeed, shift-invariant subspaces of L2(R) and also periodic extensions of finite signals are remarkable examples where this ...
Antonio G. García +2 more
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Invariant Subspaces for Derivations [PDF]
Proceedings of the American Mathematical Society, 1988 In this article it is proved that most of the known sufficient conditions for a subspace from Lat A \mathcal {A}
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An invariant subspace problem for multilinear operators on Banach spaces and algebras
Journal of Inequalities and Applications, 2016 This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
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