A characterization of formally symmetric unbounded operators.
Jocić, Danko (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Jocić, Danko (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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S. M. Bahri (2007)
Archivum Mathematicum
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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of and then using the Stieltjes inversion formula.
Peter Rosenthal (1982)
Banach Center Publications
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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).
Al-Nayef, Anwar A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Coddington, E. A.
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Duggal, B.P. (2005)
International Journal of Mathematics and Mathematical Sciences
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