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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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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, 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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Invariant subspaces in the polydisk [PDF]
Pacific Journal of Mathematics, 1986 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agrawal, O. P. +2 more
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Invariant Subspaces in Unbounded Domains
Issues of Analysis, 2021 Summary: We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator. This paper is devoted to the study of the problem of representing all functions from an invariant subspace by series of exponential monomials. These exponential monomials are eigenfunctions and
A. S. Krivosheev, O. A. Krivosheeva
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Group-invariant Subspace Clustering [PDF]
2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2015 Proceedings of Allerton ...
Shuchin Aeron, Eric Kernfeld
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Convergence of Restarted Krylov Subspaces to Invariant Subspaces [PDF]
SIAM Journal on Matrix Analysis and Applications, 2004 The authors prove estimates for the angle (strictly spoken: for the containment gap) between a searched invariant subspace of a general \(n\times n\) matrix and the subspace generated by Krylov subspace methods like the Arnoldi algorithm or the biorthogonal Lanczos algorithm.
Christopher Beattie +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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