Adjoints and formal adjoints of matrices of unbounded operators
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- by Manfred Möller and Franciszek Hugon Szafraniec PDF
- Proc. Amer. Math. Soc. 136 (2008), 2165-2176 Request permission
Abstract:
In this paper we discuss diverse aspects of the mutual relationship between adjoints and formal adjoints of unbounded operators bearing a matrix structure. We emphasize the behaviour of row and column operators as they turn out to be the germs of an arbitrary matrix operator, providing most of the information about the latter as it is the troublemaker.References
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Additional Information
- Manfred Möller
- Affiliation: The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, WITS, 2050, South Africa
- MR Author ID: 212175
- Email: manfred@maths.wits.ac.za
- Franciszek Hugon Szafraniec
- Affiliation: Instytut Mathematyki, Uniwersytet Jagielloński, ul. Reymonta 4, Pl-30059 Kraków, Poland
- Email: fhszafra@im.uj.edu.pl
- Received by editor(s): December 11, 2006
- Received by editor(s) in revised form: April 27, 2007
- Published electronically: February 14, 2008
- Additional Notes: This work was supported by a grant of the NRF of South Africa, GUN 2053746, and by the grant KBN 2 P 03A 637 024 (Poland).
- Communicated by: Joseph A. Ball
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2165-2176
- MSC (2000): Primary 47A05; Secondary 47D06
- DOI: https://doi.org/10.1090/S0002-9939-08-09211-3
- MathSciNet review: 2383522