On products of projections
نویسندگان
چکیده
منابع مشابه
Products of Orthogonal Projections
We give a characterization of operators on a separable Hilbert space of norm less than one that can be represented as products of orthogonal projections and give an estimate on the number of factors. We also describe the norm closure of the set of all products of orthogonal projections.
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Introduction. In this paper we study pairs (X, Y) of topological spaces which have the property that one or both of the projections from Xx Y is closed (maps closed sets to closed sets) or z-closed (maps zero sets to closed sets). These conditions on projections arise naturally from considerations involving the exponential map on function spaces ; in § 1 we make explicit their relationship to t...
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The purpose of this article is to define projections of ordered pairs, and to introduce triples and quadruples, and their projections. The theorems in this paper may be roughly divided into two groups: theorems describing basic properties of introduced concepts and theorems related to the regularity, analogous to those proved for ordered pairs by Cz. Byliński [1]. Cartesian products of subsets ...
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Suppose X is a Hilbert space and C
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1996
ISSN: 0012-365X
DOI: 10.1016/0012-365x(95)00055-2