The boundary of the spectrum of a linear Operatoro
Taylor, A. E.
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Taylor, A. E.
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I. Marek (1976)
Acta Universitatis Carolinae. Mathematica et Physica
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Al-Nayef, Anwar A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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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).
Yu. Abramov (1977)
Studia Mathematica
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Riedel, Norbert (2003)
International Journal of Mathematics and Mathematical Sciences
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Volker Wróbel (1986)
Studia Mathematica
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