Abstract view
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On the Adjoint and the Closure of the Sum of Two Unbounded Operators
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Published:2011-03-11
Printed: Sep 2011
Mohammed Hichem Mortad,
Department of Mathematics, University of Oran Es-Senia, BP 1524 El Menouar, 31000 Oran, Algeria
Abstract
We prove, under some conditions on the domains, that the adjoint of
the sum of two unbounded operators is the sum of their adjoints in
both Hilbert and Banach space settings. A similar result about the
closure of operators is also proved. Some interesting consequences
and examples "spice up" the paper.
| Keywords: |
unbounded operators, sum and products of operators, Hilbert and Banach adjoints, self-adjoint operators, closed operators, closure of operators
unbounded operators, sum and products of operators, Hilbert and Banach adjoints, self-adjoint operators, closed operators, closure of operators
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| MSC Classifications: |
47A05 show english descriptions
General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47A05 - General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
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