The beam operator and the Fučík spectrum
Nečesal, Petr
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Displaying similar documents to “Absence of eigenvalues for integro-differential operators with periodic coefficients.”
The beam operator and the Fučík spectrum
On the essential spectrum of many-particle pseudorelativistic Hamiltonians with permutational symmetry account.
Zhislin, Grigorii (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case.
Ruijsenaars, Simon N.M. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Linear maps preserving the generalized spectrum.
Mostafa Mbekhta (2007)
Extracta Mathematicae
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Let H be an infinite-dimensional separable complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For an operator T in B(H), let σ(T) denote the generalized spectrum of T. In this paper, we prove that if φ: B(H) → B(H) is a surjective linear map, then φ preserves the generalized spectrum (i.e. σ(φ(T)) = σ(T) for every T ∈ B(H)) if and only if there is A ∈ B(H) invertible such that either φ(T) = ATA for every T ∈ B(H), or φ(T) = ATA for every T ∈ B(H). Also,...
The spectral mapping theorem for the essential approximate point spectrum
Christoph Schmoeger (1998)
Colloquium Mathematicae
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Solvability of some integral equations in Hilbert spaces.
Ilhan, Onur Alp (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On the problem in max algebra: every system of intervals is a spectrum
Sergeĭ Sergeev (2011)
Kybernetika
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We consider the two-sided eigenproblem over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.
On the fine spectrum of generalized upper double-band matrices over the sequence space
J. Fathi, R. Lashkaripour (2013)
Matematički Vesnik
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Functions of operators and their commutators in perturbation theory
Yu. Farforovskaya (1994)
Banach Center Publications
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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.