Abstract
We study pairs of unbounded self-adjoint operators which commute on a common core.
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Carey, R.W., Pincus, J.D.: The structure of intertwining isometries. Indiana Univ. Math. J. 22 (1973), 679–703.
Carey, R.W., Pincus, J.D.: Mosaics, principal functions, and mean motion in von Neumann algebras. Acta Math. 138 (1977), 153–218.
Clancey, K.: Seminormal operators. Lecture Notes in Math. 742, Springer-Verlag, Berlin, 1979.
Fuglede, B.: Conditions for two self-adjoint operators to commute or to satisfy the Weyl relation. Math. Scand. 51 (1982), 163–178.
Nelson, E.: Analytic vectors. Ann. Math. 70 (1959) 572–615.
Pincus, J.D.: Commutators and systems of singular integral equations, I. Acta Math. 121 (1968), 219–249.
Schaefer, H.H.: Topological vector spaces. The Macmillan Company, New York, 1966.
Schmüdgen, K.: On commuting unbounded self-adjoint operators I. to appear in Acta Sci. Math. Szeged (1984).
Schmüdgen, K.: On commuting unbounded self-adjoint operators III. to appear.
Schmüdgen, K.: On domains of powers of closed symmetric operators. J. Operator Theory 9 (1983), 53–75.
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Schmüdgen, K., Friedrich, J. On commuting unbounded self-adjoint operators II. Integr equ oper theory 7, 815–867 (1984). https://doi.org/10.1007/BF01195869
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DOI: https://doi.org/10.1007/BF01195869