Results 21 to 30 of about 956 (81)
Weighted integral Hankel operators with continuous spectrum
Concrete Operators, 2017 Using the Kato-Rosenblum theorem, we describe the absolutely continuous spectrum of a class of weighted integral Hankel operators in L2(ℝ+). These self-adjoint operators generalise the explicitly diagonalisable operator with the integral kernel sαtα(s ...
Fedele Emilio, Pushnitski Alexander
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Volterra composition operators from generalized weighted weighted Bergman spaces to µ‐Bloch spaces
Journal of Function Spaces, Volume 7, Issue 3, Page 225-240, 2009., 2009 Let φ be a holomorphic self‐map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ‐Bloch space are studied in this paper.
Xiangling Zhu
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A new class of linear operators on ℓ2 and Schur multipliers for them
Journal of Function Spaces, Volume 5, Issue 2, Page 151-165, 2007., 2007 We introduce the space Bw(ℓ2) of linear (unbounded) operators on ℓ2 which map decreasing sequences from ℓ2 into sequences from ℓ2 and we find some classes of operators belonging either to Bw(ℓ2) or to the space of all Schur multipliers on Bw(ℓ2). For instance we show that the space B(ℓ2) of all bounded operators on ℓ2 is contained in the space of all ...
Anca-Nicoleta Marcoci +2 more
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A hyperbolic universal operator commuting with a compact operator [PDF]
, 2019 A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces.
Cowen, Carl C. +1 more
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Commutativity of Toeplitz operators on the Bergman spaces of the unit disk
, 2020 In this paper we give some necessary and sufficient conditions that Toeplitz operators with special symbols commute with Toeplitz operators with harmonic symbols on the Bergman space. Mathematics subject classification (2010): 47B35, 47B47.
C. Liu
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Matriceal Lebesgue spaces and Hölder inequality
Journal of Function Spaces, Volume 3, Issue 3, Page 239-249, 2005., 2005 We introduce a class of spaces of infinite matrices similar to the class of Lebesgue spaces Lp(T), 1 ≤ p ≤ ∞, and we prove matriceal versions of Hölder inequality.
Sorina Barza +3 more
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, we consider Toeplitz operators defined on the Bergman space La2(ℂ+)\msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$ of the right half plane and obtain Schatten class characterization of these operators. We have shown that if the Toeplitz
Das Namita, Behera Jitendra Kumar
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Essential norm of weighted composition operator between α‐Bloch space and β‐Bloch space in polydiscs
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 71, Page 3941-3950, 2004., 2004 Let φ(z) = (φ1(z), …, φn(z)) be a holomorphic self‐map of 𝔻n and ψ(z) a holomorphic function on 𝔻n, where 𝔻n is the unit polydiscs of ℂn. Let 0 < α, β < 1, we compute the essential norm of a weighted composition operator ψCφ between α‐Bloch space ℬα(𝔻n) and β‐Bloch space ℬβ(𝔻n).
Li Songxiao, Zhu Xiangling
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TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES
, 2016 . We study Toeplitz operators T ν on generalized Fock spacesF 2φ with a locally finite positive Borel measures ν as symbols. We char-acterize operator-theoretic properties (boundedness and compactness) ofT ν in terms of the Fock-Carleson measure and the ...
Hong-Rae Cho
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Block Toeplitz operators with frequency‐modulated semi‐almost periodic symbols
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 34, Page 2157-2176, 2003., 2003 This paper is concerned with the influence of frequency modulation on the semi‐Fredholm properties of Toeplitz operators with oscillating matrix symbols. The main results give conditions on an orientation‐preserving homeomorphism α of the real line that ensure the following: if b belongs to a certain class of oscillating matrix functions (periodic ...
A. Böttcher, S. Grudsky, I. Spitkovsky
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