Adjoints, absolute values and polar decompositions
by
Douglas Bridges
,
Fred Richman
,
Peter Schuster
,
Communicated William
,
B. Arveson
| Venue: | Journal of Operator Theory |
| Citations: | 1 - 0 self |
BibTeX
@ARTICLE{Bridges_adjoints,absolute,
author = {Douglas Bridges and Fred Richman and Peter Schuster and Communicated William and B. Arveson},
title = {Adjoints, absolute values and polar decompositions},
journal = {Journal of Operator Theory},
year = {},
volume = {44},
pages = {2000}
}
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Abstract
Abstract. Various questions about adjoints, absolute values and polar decompositions of operators are addressed from a constructive point of view. The focus is on bilinear forms. Conditions are given for the existence of an adjoint, and a general notion of a polar decomposition is developed. The Riesz representation theorem is proved without countable choice.
Citations
| 342 | Constructive Analysis - Bishop, Bridges - 1985 |
| 46 | Constructive analysis, Grundlehren der - Bishop, Bridges - 1985 |
| 13 | Generalized real numbers in constructive mathematics - Richman - 1998 |
| 8 | A constructive look at positive linear functionals on L(H - Bridges - 1981 |
| 5 | Constructive compact operators on a Hilbert space - Ishihara - 1991 |
| 2 | Varieties of Constructive - Bridges, Richman - 1987 |
| 1 | On weak operator compactness of the unit ball of L(H - Bridges - 1978 |
| 1 | Locating the range of a selfadjoint operator - Bridges, Ishihara - 1992 |
| 1 | Constructivism in Mathematics (two volumes), North-Holland - Troelstra, Dalen - 1988 |
