Results 11 to 20 of about 2,304 (162)

Isometries of ∗ -Invariant Subspaces [PDF]

Transactions of the American Mathematical Society, 1974
We consider families of increasing ∗
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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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Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators

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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Invariant Lagrangian subspaces [PDF]

Proceedings of the American Mathematical Society, 1988
It is proved that on Hilbert spaces with strong symplectic form, every symplectic operator I + C I +
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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., Schmitz, Stephan, Seelmann, Albrecht   +2 more
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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, Alberto Ibort, María J. Muñoz-Bouzo   +2 more
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On some bounds on the perturbation of invariant subspaces of normal matrices with application to a graph connection problem

Journal of Inequalities and Applications, 2022
We provide upper bounds on the perturbation of invariant subspaces of normal matrices measured using a metric on the space of vector subspaces of C n $\mathbb{C}^{n}$ in terms of the spectrum of both unperturbed and perturbed matrices as well as the ...
Subhrajit Bhattacharya
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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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Invariant Subspaces: An Alternative for Introducing Eigenvectors and Eigenvalues

Annales de Didactique et de Sciences Cognitives, 2023
The concepts of eigenvalue and eigenvector are typically approached algorithmically in introductory linear algebra courses. However, a more conceptual orientation involves connecting these notions to the concept of one-dimensional invariant subspace ...
Gisela Camacho, Asuman Oktaç
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Invariant subspaces in the polydisk [PDF]

Pacific Journal of Mathematics, 1986
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Agrawal, O. P., Clark, D. N., Douglas, R. G.   +2 more
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