Hardy spaces and shift-invariant subspaces
Reconstruction in time warped weighted shift invariant spaces with application to spline subspaces
... SPLINE SUBSPACES JUN XIAN and YONGJIN LI Received 17 December 2002 We discuss the reproducing kernel structure in shift-invariant spaces and the weighted shift-invariant ...
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p-frames and Shift Invariant Subspaces of L p
... closed shift invariant subspace of L p ...Hilbert spaces, it is well known that the coefficients sequence obtained by using the Duffin-Schaeffer representation has minimal ...
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About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
... (Received 1 August 2000 and in revised form 27 November 2000) Abstract. The Rademacher series in rearrangement invariant function spaces “close” to the space L ∞ are considered. In terms of interpolation ...
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Proper contractions and invariant subspaces
... Conclusion. The concepts of proper and strict contraction coincide for compact operators. Proper contractions have been investigated in connection with unitary dilations (the minimal unitary dilation of a proper ...
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Entropy of controlled-invariant subspaces
... controlled invariant sub- spaces it is useful to have explicit parametrizations of the class of all controlled in- variant ...of subspaces are of special interest here. A controlled invariant ...
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CiteSeerX — TRANSLATION INVARIANT OPERATORS ON HARDY SPACES OVER VILENKIN GROUPS
... J.E. DALY AND S. FRIDLI Dedicated to Professor William R. Wade on the occasion of his 60th birthday Abstract. We show that a number of well known multiplier theorems for Hardy spaces over Vilenkin groups ...
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The closedness of shift invariant subspaces in \(L^{p,q} (\mathbb{R}^{d+1} )\)
... 4. Francia, J.L., Ruiz, F.J., Torrea, J.L.: Calderón–Zygmund theory for operator-valued kernels. Adv. Math. 62(1), 7–48 (1986) 5. Fernandez, D.L.: Vector-valued singular integral operators on L p -spaces with ...
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Stable invariant subspaces, reflexivity, and BMO
... ator theory. In th e past decade, similar questions concerning some im portant subsets of linear transformations acting on Banach spaces have also attracted attention. The originators of the research in this ...
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INVARIANT SUBSPACES ON MULTIPLY CONNECTED DOMAINS
... Banach spaces B 1 /I and B/ ker L I are canonically module-isomorphic; this means that ¯ L I : B/ ker L I → B 1 /I is injective and surjective, furthermore, its inverse is also a ...
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Invariant Subspaces of Compact Operators and Related Topics
... THE INVARIANT SUBSPACE PROBLEM 26 These theorems are immensely powerful and produce some beautiful works of ...the invariant subspace problem by giving information about eigenvalues of an ...
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Applications of fixed point theorems in the theory of invariant subspaces
... The origin of this question goes back to , when von Neumann proved the unpub- lished result that any compact operator on a Hilbert space has a nontrivial invariant sub- space. Aronszajn and Smith [] extended ...
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A Note on Some Equivalences of Operators and Topology of Invariant Subspaces
... We also note that Corollary 5.25 is not true if we replace reducibility with invariance. This is because in infinite dimensional Hilbert spaces, the invariance of a subspace M for an invertible operator T ∈ B H ( ...
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Model spaces and Toeplitz kernels in reflexive Hardy spaces
... model spaces, regarded as Toeplitz kernels of a particular kind, and present their basic properties and some factorisation and decomposition ...model spaces consist entirely of bounded functions, i.e., form ...
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Hyperinvariant subspaces for quasinilpotent operators on Hilbert spaces
... an invariant subspace M of the operator Kα, and an invertible operator S : H → M such that S T S − 1 = Kα | M ...weighted shift with an infinite ...weighted shift with weights { α n } such that lim n ...
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Shift invariant preduals of $\ell_1(\Z)$
... For shift-invariant preduals for ℓ 1 ( Z ), we examine possible limit points of the set of point ...of shift-invariant preduals. It is important to note that two shift-invariant ...
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On a Metric on Translation Invariant Spaces
... Translation invariant spaces on a locally compact abelian group G are closed subspaces of L 2 (G) that are invariant under translations by a closed cocom- pact subgroup of ...a shift ...
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Generalized sampling: from shift-invariant to U-invariant spaces
... Pérez-Villalón, Dual frames in L (0,1) connected with general- ized sampling in shift-invariant spaces, Appl.. Pérez-Villalón, Generalized irregular sampling in shift-invariant spaces, [r] ...
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Approximately invariant subspaces
... Krylov subspaces, including for example, large memory requirements and potential loss of orthogonality in the orthonormal ...approximately invariant subspaces and will be elaborated on in future ...
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Phase-Retrieval in Shift-Invariant Spaces with Gaussian Generator
... The analysis of the factorization D D ∗ = R is the key tool to find all possible solutions to the phase-retrieval problem for complex-valued functions in Vβ∞ φγ.. In contrast to the uniq[r] ...
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Vector Spaces and Subspaces
... – Rank Test and Determinant Test for Fixed Vectors – Sampling Test and Wronskian Test for Functions.. – Independence of Atoms..[r] ...
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