A commutativity theorem for unbounded operators in Hilbert space
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- by A. E. Nussbaum
- Trans. Amer. Math. Soc. 140 (1969), 485-491
- DOI: https://doi.org/10.1090/S0002-9947-1969-0242010-0
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References
- A. Devinatz, A. E. Nussbaum, and J. von Neumann, On the permutability of self-adjoint operators, Ann. of Math. (2) 62 (1955), 199–203. MR 71745, DOI 10.2307/1969674
- A. Devinatz and A. E. Nussbaum, On the permutability of normal operators, Ann. of Math. (2) 65 (1957), 144–152. MR 83704, DOI 10.2307/1969669
- Bent Fuglede, A commutativity theorem for normal operators, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 35–40. MR 32944, DOI 10.1073/pnas.36.1.35
- Béla v. Sz. Nagy, Spektraldarstellung linearer Transformationen des Hilbertschen Raumes, Ergebnisse der Mathematik und ihrer Grenzgebiete, 5, no. 5, Springer, Berlin, 1942 (German). MR 0018339, DOI 10.1007/978-3-642-99166-0
- Edward Nelson, Analytic vectors, Ann. of Math. (2) 70 (1959), 572–615. MR 107176, DOI 10.2307/1970331 B. Fuglede, Problem 3, Math. Scand. 1 (1953), 172 and 2 (1954), 346-347.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 140 (1969), 485-491
- MSC: Primary 47.40
- DOI: https://doi.org/10.1090/S0002-9947-1969-0242010-0
- MathSciNet review: 0242010