Closed operators and pure contractions in Hilbert space
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- by William E. Kaufman
- Proc. Amer. Math. Soc. 87 (1983), 83-87
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677237-X
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Abstract:
Some properties of the one-to-one mapping $A \to A{(1 - {A^ * }A)^{ - 1/2}}$ of the pure contractions onto the closed and densely-defined operators are proved, in particular that it commutes with adjunction and preserves normality.References
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- Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. Translated from the French and revised. MR 0275190
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- 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