Locating the range of an operator on a Hilbert space (1992)
by
Douglas Bridges
,
Hajime Ishihara
| Venue: | Bull. London Math. Soc |
| Citations: | 2 - 2 self |
BibTeX
@ARTICLE{Bridges92locatingthe,
author = {Douglas Bridges and Hajime Ishihara},
title = {Locating the range of an operator on a Hilbert space},
journal = {Bull. London Math. Soc},
year = {1992},
volume = {24},
pages = {599--605}
}
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Abstract
In classical operator theory it is taken for granted that we can project onto the closure of the range of an operator T on a Hilbert space H. In a constructive development of operator theory, to which this note is a contribution, this projection exists if and only if ran(r), the range of T, is located, in the sense that the distance
Citations
| 83 | and complex analysis, McGraw-Hill - Rudin - 1987 |
| 45 | Varieties of constructive mathematics - Bridges, Richman - 1987 |
| 8 | A constructive look at positive linear functionals on L(H - Bridges - 1981 |
| 5 | A constructive treatment of open and unopen mapping theorems - Bridges, Julian, et al. - 1989 |
| 5 | Constructive compact operators on a Hilbert space - Ishihara - 1991 |
| 4 | Linear mappings are fairly well-behaved - Bridges, Ishihara - 1990 |
| 2 | A constructive closed graph theorem - ISHIHARA - 1990 |
| 2 | Meaning and information in constructive mathematics - RICHMAN - 1982 |
| 1 | Constructive analysis, Grundlehren - BISHOP, BRIDGES - 1985 |
| 1 | Operator ranges, integrable sets, and the functional calculus - BRIDGES |
| 1 | Constructive existence of Minkowski functionals - ISHIHARA |
