Closed operators and pure contractions in Hilbert space
Author:
William E. Kaufman
Journal:
Proc. Amer. Math. Soc. 87 (1983), 83-87
MSC:
Primary 47A65; Secondary 47A45, 47B20
DOI:
https://doi.org/10.1090/S0002-9939-1983-0677237-X
MathSciNet review:
677237
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Abstract | References | Similar Articles | Additional Information
Abstract: Some properties of the one-to-one mapping 
of the pure contractions onto the closed and densely-defined operators are proved, in particular that it commutes with adjunction and preserves normality.
- [1] H. O. Cordes and J. P. Labrousse, The invariance of the index in the metric space of closed operators, J. Math. Mech. 12 (1963), 693–719. MR 0162142, https://doi.org/10.1017/s0022112062000440
- [2] William E. Kaufman, Representing a closed operator as a quotient of continuous operators, Proc. Amer. Math. Soc. 72 (1978), no. 3, 531–534. MR 509249, https://doi.org/10.1090/S0002-9939-1978-0509249-9
- [3] Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, Translated from the French and revised, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. MR 0275190
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0677237-X
Article copyright:
© Copyright 1983
American Mathematical Society
