Results 1 to 10 of about 10,076,213 (69)

Exterior products of operators and superoptimal analytic approximation

open access: yesTransactions 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
doaj   +2 more sources

Bounded and compact Hankel operators on the Fock-Sobolev spaces

open access: yesFilomat, 2022
This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators on the Fock-Sobolev spaces Fp,m in terms of symbols in BMO pr and VMO pr spaces, respectively, for a non-negative integers m, 1 ? p < ? and r > 0.
Anuradha Gupta, B. Gupta
semanticscholar   +1 more source

Generalized Crofoot transform and applications

open access: yesConcrete 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
doaj   +1 more source

Ranks of commutators of truncated Toeplitz operators on finite dimensional spaces

open access: yes, 2021
We study the rank of commutator [Aη ,A∗η ] of truncated Toeplitz operators Aη and A∗η with several type of inner symbols η on the model space Hθ with finite Blaschke product θ . Mathematics subject classification (2010): Primary 47B35; Secondary 32A37.
Yong Chen, K. Izuchi, Y. J. Lee
semanticscholar   +1 more source

Key recommendations for primary care from the 2022 Global Initiative for Asthma (GINA) update

open access: yesnpj Primary Care Respiratory Medicine, 2023
The Global Initiative for Asthma (GINA) was established in 1993 by the World Health Organization and the US National Heart Lung and Blood Institute to improve asthma awareness, prevention and management worldwide.
M. Levy   +18 more
semanticscholar   +1 more source

Functions of self‐adjoint operators in ideals of compact operators

open access: yesJournal 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
wiley   +1 more source

Volterra composition operators from generalized weighted weighted Bergman spaces to µ‐Bloch spaces

open access: yesJournal 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
wiley   +1 more source

On the commutativity of Toeplitz operators with harmonic symbols

open access: yes, 2018
In this paper we prove that if the polar decomposition of a symbol f is truncated above, i.e., f (reiθ ) = ∑k=−∞ e ikθ fk(r) where the fk ’s are radial functions, and if the associated Toeplitz operator Tf commutes with Tz2+ z2 , then Tf = Q(Tz2+ z2 ...
Hashem Al Sabi, I. Louhichi
semanticscholar   +1 more source

On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions

open access: yesAnalele 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
doaj   +1 more source

Finite‐rank intermediate Hankel operators on the Bergman space

open access: yesInternational 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
wiley   +1 more source

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