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A commutativity theorem for unbounded operators in Hilbert space. (English) Zbl 0181.40905


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[1] A. Devinatz, A. E. Nussbaum, and J. von Neumann, On the permutability of self-adjoint operators, Ann. of Math. (2) 62 (1955), 199 – 203. · Zbl 0065.10401 · doi:10.2307/1969674
[2] A. Devinatz and A. E. Nussbaum, On the permutability of normal operators, Ann. of Math. (2) 65 (1957), 144 – 152. · Zbl 0077.31802 · doi:10.2307/1969669
[3] Bent Fuglede, A commutativity theorem for normal operators, Proc. Nat. Acad. Sci. U. S. A. 36 (1950), 35 – 40. · Zbl 0035.35804
[4] Béla v. Sz. Nagy, Spektraldarstellung linearer Transformationen des Hilbertschen Raumes, Ergebnisse der Mathematik und ihrer Grenzgebiete, 5, no. 5, Springer, Berlin, 1942 (German). · Zbl 0146.12602
[5] Edward Nelson, Analytic vectors, Ann. of Math. (2) 70 (1959), 572 – 615. · Zbl 0091.10704 · doi:10.2307/1970331
[6] B. Fuglede, Problem 3, Math. Scand. 1 (1953), 172 and 2 (1954), 346-347.
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