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Stacey Crossed Products Associated to Exel Systems
Springer Science and Business Media LLC - Tập 72 - Trang 537-561 - 2012
Astrid an Huef, Iain Raeburn
There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we consider Exel crossed products associated to transfer operators which extend to be unital on the multiplier algebra. We show that every Exel crossed product is isomorphic to a Stacey crossed product, though by a different endomorphism of a diff...... hiện toàn bộ
On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation
Springer Science and Business Media LLC - - 2020
Rubén Aylwin, Carlos Jerez-Hanckes, José Pinto
We study the mapping properties of boundary integral operators arising when solving two-dimensional, time-harmonic waves scattered by periodic domains. For domains assumed to be at least Lipschitz regular, we propose a novel explicit representation of Sobolev spaces for quasi-periodic functions that allows for an analysis analogous to that of Helmholtz scattering by bounded objects. Except for Ray...... hiện toàn bộ
On The Structure of A Commutative Banach Algebra Generated By Toeplitz Operators With Quasi-Radial Quasi-Homogeneous Symbols
Springer Science and Business Media LLC - Tập 74 Số 2 - Trang 199-231 - 2012
Wolfram Bauer, Nikolai Vasilevski
Litte Hankel Operators Between Vector-Valued Bergman Spaces on the Unit Ball
Springer Science and Business Media LLC - Tập 93 - Trang 1-46 - 2021
David Békollé, Hugues Olivier Defo, Edgar L. Tchoundja, Brett D. Wick
In this paper, we study the boundedness and the compactness of the little Hankel operators $$h_b$$ with operator-valued symbols b between different weighted vector-valued Bergman spaces on the open unit ball $$\mathbb {B}_n$$ ...... hiện toàn bộ
Stability Theorems for Linear Combinations of Idempotents
Springer Science and Business Media LLC - Tập 58 - Trang 597-601 - 2007
J. J. Koliha, V. Rakočević
We prove a stability theorem for the nullity of a linear combination c 1 P 1 + c 2 P 2 of two idempotent operators P 1, P 2 on a Banach space provided c 1, c 2 and c 1 + c 2 are nonzero. We then show that for c 1 P 1 + c 2 P 2 the property of being upper semi-Fredholm, lower semi-Fredholm and Fredholm, respectively, is independent of the choice of c 1, c 2, and that the nullity, defect and index o...... hiện toàn bộ
Universal commutative operator algebras and transfer function realizations of polynomials
Springer Science and Business Media LLC - Tập 73 - Trang 305-329 - 2012
Michael T. Jury
To each finite-dimensional operator space E is associated a commutative operator algebra UC(E), so that E embeds completely isometrically in UC(E) and any completely contractive map from E to bounded operators on Hilbert space extends uniquely to a completely contractive homomorphism out of UC(E). The unit ball of UC(E) is characterized by a Nevanlinna factorization and transfer function realizati...... hiện toàn bộ
Non-selfadjoint periodic Dirac operators with finite-band spectra
Springer Science and Business Media LLC - Tập 36 - Trang 325-348 - 2000
V. Tkachenko
Matrix functions with arbitrarily prescribed left and right partial indices
Springer Science and Business Media LLC - Tập 36 - Trang 71-91 - 2000
A. Böttcher, S. M. Grudsky, I. M. Spitkovsky
We prove that ifn≥2 and ϱ, χ are two given vectors inZ n, then there exists a matrix function inL ∞ n×n (T) which has a right Wiener-Hopf factorization inL 2 with the partial indices ϱ and a left Wiener-Hopf factorization inL 2 with the partial indices χ.
Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems
Springer Science and Business Media LLC - Tập 20 - Trang 44-83 - 1994
I. Gohberg, V. Olshevsky
Numerical algorithms with complexityO(n 2) operations are proposed for solving matrix Nehari and Nehari-Takagi problems withn interpolation points. The algorithms are based on explicit formulas for the solutions and on theorems about cascade decomposition of rational matrix function given in a state space form. The method suggests also fast algorithms for LDU factorizations of structured matrices....... hiện toàn bộ
A Characterization of Certain Types of Hankel Symbols on the Drury–Arveson Space
Springer Science and Business Media LLC - Tập 87 - Trang 157-167 - 2017
James Sunkes
For a class of symbols $$\varphi \in H^2_{d + 1}$$ , a characterization of those particular $$\varphi $$ ...... hiện toàn bộ
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