The boundary of the spectrum of a linear Operatoro
Taylor, A. E.
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Taylor, A. E.
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Karl Michael Schmidt (1995)
Forum mathematicum
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I. Marek (1976)
Acta Universitatis Carolinae. Mathematica et Physica
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S. Naboko (1993-1994)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Mikhail Sh. Birman (1994)
Journées équations aux dérivées partielles
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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).
Catană, Petronela (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Benharrat, Mohammed, Messirdi, Bekkai (2011)
Serdica Mathematical Journal
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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.