Results 21 to 30 of about 4,474 (273)
Riesz operators with finite rank iterates [PDF]
Journal of Mathematical Analysis and Applications, 2018 Abstract Every infinite dimensional Banach space admits Riesz operators that are not finite rank. In this note we discuss conditions under which a Riesz operator, or some power thereof, is a finite rank operator.
Laustsen, Niels Jakob +1 more
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Spectral dissection of finite rank perturbations of normal operators [PDF]
Journal of Operator Theory, 2021 Finite rank perturbations T=N+K of a bounded normal operator N acting on a separable Hilbert space are studied thanks to a natural functional model of T; in its turn the functional model solely relies on a perturbation matrix/characteristic function previously defined by the second author.
Putinar, Mihai, Yakubovich, Dmitry
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Weyl's theorem for algebraically k-quasiclass A operators [PDF]
Opuscula Mathematica, 2012 If \(T\) or \(T^*\) is an algebraically \(k\)-quasiclass \(A\) operator acting on an infinite dimensional separable Hilbert space and \(F\) is an operator commuting with \(T\), and there exists a positive integer \(n\) such that \(F^n\) has a finite rank,
Fugen Gao, Xiaochun Fang
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The bi-conical vector model at 1/N
Journal of High Energy Physics, 2021 We study finite N aspects of the O(m) × O(N − m) vector model with quartic interactions in general 2 ≤ d ≤ 6 spacetime dimensions. This model has recently been shown [1, 2] to display the phenomenon of persistent symmetry breaking at a perturbative ...
Noam Chai +3 more
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Stability of some essential B-spectra of pencil operators and application
Extracta Mathematicae, 2021 In this paper, we give some results on the essential B-spectra of a linear operator pencil, which are used to determine the essential B-spectra of an integro-differential operator with abstract boundary conditions in the Banach space Lp([−a, a] × [−1, 1])
A. Ben Ali, M. Boudhief, N. Moalla
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A Note on Property (gb) and Perturbations
Abstract and Applied Analysis, 2012 An operator T∈ℬ(X) defined on a Banach space X satisfies property (gb) if the complement in the approximate point spectrum σa(T) of the upper semi-B-Weyl spectrum σSBF+-(T) coincides with the set Π(T) of all poles of the resolvent of T. In this paper, we
Qingping Zeng, Huaijie Zhong
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A remark on the slice map problem
International Journal of Mathematics and Mathematical Sciences, 1994 It is shown that there exist a σ-weakly closed operator algebra A˜, generated by finite rank operators and a σ-weakly closed operator algebra B˜ generated by compact operators such that the Fubini product A˜⊗¯FB˜ contains properly A˜⊗¯B˜.
Muneo Chō, Tadasi Huruya
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Model and Controller Order Reduction for Infinite Dimensional Systems [PDF]
ITB Journal of Engineering Science, 2010 This paper presents a reduced order model problem using reciprocal transformation and balanced truncation followed by low order controller design of infinite dimensional systems.
Fatmawati +3 more
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Unconditional ideals of finite rank operators [PDF]
Czechoslovak Mathematical Journal, 2008 Let X be a Banach space. We give characterizations of when F(Y, X) is a u-ideal in W(Y, X) for every Banach space Y in terms of nets of finite rank operators approximating weakly compact operators. Similar characterizations are given for the cases when F(X, Y ) is a u-ideal in W(X, Y ) for every Banach space Y , when F(Y, X) is a u-ideal in W(Y, X )
Trond A. Abrahamsen +2 more
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The Rank Distribution of Sparse Random Linear Network Coding
IEEE Access, 2019 Sparse random linear network coding (SRLNC) is a promising solution for reducing the complexity of random linear network coding (RLNC). RLNC can be modeled as a linear operator channel (LOC).
Wenlin Chen, Fang Lu, Yan Dong
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