On the solution of Nevanlinna Pick problem with selfadjoint extensions of symmetric linear relations in Hilbert space.
El-Sabbagh, A.A. (1997)
International Journal of Mathematics and Mathematical Sciences
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El-Sabbagh, A.A. (1997)
International Journal of Mathematics and Mathematical Sciences
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Mohammed Hichem Mortad (2011)
Colloquium Mathematicae
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We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.
William F. Donoghue (1963)
Publications Mathématiques de l'IHÉS
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Igor Bock (1976)
Mathematica Slovaca
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Hebbeche, A. (2005)
Journal of Applied Mathematics
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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).
Vladimir Rakočević (2000)
Publications de l'Institut Mathématique
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Andrzej Krupa, Bogdan Zawisza (1987)
Studia Mathematica
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