On the singular continuous spectrum of self-adjoint extensions.
Johannes Brasche, Hagen Neidhardt (1996)
Mathematische Zeitschrift
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Johannes Brasche, Hagen Neidhardt (1996)
Mathematische Zeitschrift
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Johann Walter (1972)
Mathematische Zeitschrift
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Helmut H. Schaefer (1977)
Mathematische Zeitschrift
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Jaroslav Zemánek (2007)
Banach Center Publications
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Robert Brooks (1984)
Mathematische Zeitschrift
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H. J. Borchers (1986)
Recherche Coopérative sur Programme n°25
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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.
Karl Michael Schmidt (1995)
Forum mathematicum
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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).
Taylor, A. E.
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GH. Mocanu (1974)
Studia Mathematica
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