Results 11 to 20 of about 4,474 (273)

On finite rank Hankel operators

Journal of Functional Analysis, 2014
For self-adjoint Hankel operators of finite rank, we find an explicit formula for the total multiplicity of their negative and positive spectra. We also show that very strong perturbations, for example, a perturbation by the Carleman operator, do not change the total number of negative eigenvalues of finite rank Hankel operators.
D. R. Yafaev
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Finite Rank Operators in Certain Algebras [PDF]

Canadian Mathematical Bulletin, 1999
AbstractLet Alg(ℒ) be the algebra of all bounded linear operators on a normed linear space X leaving invariant each member of the complete lattice of closed subspaces L. We discuss when the subalgebra of finite rank operators in Alg(ℒ) is non-zero, and give an example which shows this subalgebra may be zero even for finite lattices.
Sean Bradley
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Unitary Representations of Lie Groups and Operators of Finite Rank [PDF]

The Annals of Mathematics, 1994
Besides being a principal object of study in harmonic analysis, the convolution algebra of Ll-functions on a locally compact group is traditionally used for investigating (unitary) group representations by methods of associative algebra. With the development of the theory of C*-algebras this role was more and more taken over by the group C*-algebras. A
Detlev Poguntke
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Perturbation of embedded eigenvalues by operators of finite rank

Journal of Mathematical Analysis and Applications, 1968
In this classical paper of 1948, K. 0. Friedrichs considered an example of a self-adjoint operator T,, having a point eigenvalue embedded in its continuous spectrum which disappears under a perturbation EL’ of rank 2 [l, Sections 6-8 and Section IO].
James S. Howland
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Operators of finite rank in a reflexive Banach space [PDF]

Pacific Journal of Mathematics, 1962
A. Olubummo
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Finite rank commutators of Toeplitz operators on the bidisk [PDF]

Studia Mathematica, 2012
Young Joo Lee
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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.
H. Raubenheimer, Ur Koumba
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$U\left(\mathfrak{h}\right)$-Free Modules over the Lie Algebras of Differential Operators

Mathematics, 2022
This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the differential operator algebra.
Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia   +3 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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