Results 1 to 10 of about 31 (30)
Exterior products of operators and superoptimal analytic approximation
Transactions of the London Mathematical Society, 2021 We give a new algorithm for the construction of the unique superoptimal analytic approximant of a given continuous matrix‐valued function on the unit circle, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations.
Dimitrios Chiotis +2 more
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Generalized Crofoot transform and applications
Concrete Operators, 2023 Matrix-valued asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These are the generalization of matrix-valued truncated Toeplitz operators. In this article, we describe symbols of matrix-
Khan Rewayat, Farooq Aamir
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Functions of self‐adjoint operators in ideals of compact operators
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 157-176, February 2017., 2017 Abstract For self‐adjoint operators A,B, a bounded operator J, and a function f:R→C, we obtain bounds in quasi‐normed ideals of compact operators for the difference f(A)J−Jf(B) in terms of the operator AJ−JB. The focus is on functions f that are smooth everywhere except for finitely many points. A typical example is the function f(t)=|t|γ with γ∈(0,1).
Alexander V. Sobolev
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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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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
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Finite‐rank intermediate Hankel operators on the Bergman space
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 19-31, 2001., 2001 Let L2 = L2(D, r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2, g(0)=0}. Then I − P ≥ Q.
Takahiko Nakazi, Tomoko Osawa
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Commutants of the sum of two quasihomogeneous Toeplitz operators
Concrete OperatorsA major open question in the theory of Toeplitz operator on the Bergman space of the unit disk of the complex plane is the complete characterization of the set of all Toeplitz operators that commute with a given operator.
Bouhali Aissa, Louhichi Issam
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Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10identifier:北海学園大学学園論集 identifier:03857271 identifier:http://hokuga.hgu.jp/dspace/handle/123456789 ...
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Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions (2) Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10 First published in 2009 in Japanese as Seisoku Kansu no nasu Hiruberuto kukan by Iwanami Shoten, Publishers, Tokyo.identifier:北海学園大学学園論集 identifier:03857271 identifier:http://hokuga.hgu.jp/dspace/handle/123456789 ...
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On Compactness of Products of Toeplitz Operators. [PDF]
Complex Anal Oper TheoryLe T, Rodriguez TM, Şahutoğlu S.
europepmc +1 more source