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Proceedings of the American Mathematical Society

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On the existence of closed Hermitian restrictions of selfadjoint operators


Author: B. Fishel
Journal: Proc. Amer. Math. Soc. 76 (1979), 353-354
MSC: Primary 47B25
DOI: https://doi.org/10.1090/S0002-9939-1979-0537105-X
MathSciNet review: 537105
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References [Enhancements On Off] (What's this?)

  • [1] N. I. Achieser and I. M. Glasmann, Theorie der linearen Operatoren im Hilbert-Raum, Akademie-Verlag, Berlin, 1954. MR 0066560 (16:596f)
  • [2] H. L. Hamburger, Contributions to the theory of closed hermitian transformations of deficiency index (m, m), Ann. of Math. 45 (1944), 59-99. MR 0009700 (5:188a)
  • [3] J. von Neumann, Allgemeine Eigenwertheorie Hermitescher Funktionaloperatoren, Math. Ann. 102 (1930), 49-131. MR 1512569

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0537105-X
Keywords: Restriction of operator, Cayley transform, Hellinger-Toeplitz theorem
Article copyright: © Copyright 1979 American Mathematical Society

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