Results 11 to 20 of about 181,839 (320)

Derivation Properties of Finite Rank Operators

International Journal of Modern Computation, Information and Communication Technology, 2019
In the present work, authors established derivation properties and range-kernel orthogonality of finite rank inner derivations implemented by finite rank hyponormal operators. The results show that an inner derivation is linear and bounded. Also by inner product trace and properties of adjoint, the inner derivation is self-adjoint if the inducing ...
M.F.C Kaunda, Benard Okelo, Omolo Ongati
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COMPOSITION OPERATORS ON FINITE RANK MODEL SUBSPACES [PDF]

Glasgow Mathematical Journal, 2012
AbstractWe give a complete description of bounded composition operators on model subspaces KB, where B is a finite Blaschke product. In particular, if B has at least one finite pole, we show that the collection of all bounded composition operators on KB has a group structure.
Javad Mashreghi, Mahmood Shabankhah
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Finite rank truncated Toeplitz operators via Hankel operators [PDF]

Proceedings of the American Mathematical Society, 2018
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Pan Ma, Dechao Zheng
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Finite rank Toeplitz operators in Bergman spaces [PDF]

, 2009
We discuss resent developments in the problem of description of finite rank Toeplitz operators in different Bergman spaces and give some applications in analysis and mathematical ...
Grigori Rozenblum
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Finite rank Toeplitz operators on the Bergman space [PDF]

Proceedings of the American Mathematical Society, 2007
From the author's abstract: ``Given a complex Borel measure \(\mu\) with compact support in the complex plane \(\mathbb{C}\), the sesquilinear form defined on analytic polynomials \(f\) and \(g\) by \(B_\mu(f, g)=\int f\overline g\,d\mu\) determines an operator \(T_\mu\) from the space of such polynomials \({\mathcal P}\) to the space of linear ...
Daniel H. Luecking
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A criterion for finite rank $λ$-Toeplitz operators

, 2014
Let $ $ be a complex number in the closed unit disc $\overline{\Bbb D}$, and $\cal H$ be a separable Hilbert space with the orthonormal basis, say, ${\cal E}=\{e_n:n=0,1,2,\cdots\}$. A bounded operator $T$ on $\cal H$ is called a $ $-Toeplitz operator if $$ \langle Te_{m+1},e_{n+1}\rangle= \langle Te_m,e_n\rangle $$ (where $\langle\cdot,\cdot\rangle$
Mark C. Ho
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FINITE RANK RIESZ OPERATORS [PDF]

Glasgow Mathematical Journal, 2013
AbstractWe provide conditions under which a Riesz operator defined on a Banach space is a finite rank operator.
Koumba, U., Raubenheimer, H.
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Unconditional ideals of finite rank operators [PDF]

Czechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abrahamsen, Trond A., Lima, Åsvald, Lima, Vegard   +2 more
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Foundations of the Fredholm Alternative Theorem, Equicontinuous Operators and Completely Continuous Operators

Bibechana, 2012
The Fredholm Alternative Theorem gives the notion of bounded and continuous operator which makes a family F of elements of C[a, b] bounded and equicontinuous. A continuous operator of finite rank is completely continuous but every continuous operator is
GK Palei, NP Sah
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Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ

Demonstratio Mathematica, 2022
Let AΦ(K){{\mathbb{A}}}_{\Phi }\left({\bf{K}}) be the Banach algebra of bounded Φ\Phi -variation functions defined on a compact set K{\bf{K}} in the complex plane, hh a function defined on K{\bf{K}}, and Mh{M}_{h} a multiplication operator induced by hh.
Bracamonte Mireya, Ereú Jurancy, Marchan Luz   +2 more
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