On the spectrum of the reduced wave operators with cylindrical discontinuity.

Willi Jäger; Yoshimi Saito

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Benharrat, Mohammed, Messirdi, Bekkai (2011)

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2010 Mathematics Subject Classification: 47A10. We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.

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Bucur, Amelia (1996)

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GH. Mocanu (1974)

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Locality and Covariance of the Spectrum

H. J. Borchers (1986)

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Quasihyponormal operators and the continuity of the approximate point spectrum.

Djordjević, Slaviša V. (1997)

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Diagonals of Self-adjoint Operators with Finite Spectrum

Marcin Bownik, John Jasper (2015)

Bulletin of the Polish Academy of Sciences. Mathematics

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Given a finite set X⊆ ℝ we characterize the diagonals of self-adjoint operators with spectrum X. Our result extends the Schur-Horn theorem from a finite-dimensional setting to an infinite-dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections (2002) and the second author's result for operators with three-point spectrum (2013).

Different spectra for nonlinear operators.

Catană, Petronela (2005)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On joint spectra of operators on a Banach space isomorphic to its square

Andrzej Sołtysiak (1989)

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