### 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 ${L}^{2}\left(X,\mu \right)$ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of $A$ 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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I. Marek (1976)

Acta Universitatis Carolinae. Mathematica et Physica

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