Regularity of operators on essential extensions of the compacts
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- by Arupkumar Pal PDF
- Proc. Amer. Math. Soc. 128 (2000), 2649-2657 Request permission
Abstract:
A semiregular operator on a Hilbert $C^*$-module, or equivalently, on the $C^*$-algebra of ‘compact’ operators on it, is a closable densely defined operator whose adjoint is also densely defined. It is shown that for operators on extensions of compacts by unital or abelian $C^*$-algebras, semiregularity leads to regularity. Two examples coming from quantum groups are discussed.References
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Additional Information
- Arupkumar Pal
- Affiliation: Indian Statistical Institute, 7, SJSS Marg, New Delhi–110 016, India
- Email: arup@isid.ac.in
- Received by editor(s): June 29, 1998
- Received by editor(s) in revised form: October 22, 1998
- Published electronically: February 28, 2000
- Additional Notes: The author was partially supported by the Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, India.
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2649-2657
- MSC (1991): Primary 46H25, 47C15
- DOI: https://doi.org/10.1090/S0002-9939-00-05611-2
- MathSciNet review: 1705741