A characterization and equations for minimal shape-preserving projections |
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Authors: | BL Chalmers D Mupasiri MP Prophet |
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Institution: | aUniversity of California, Riverside, USA;bUniversity of Northern Iowa, Cedar Falls, USA |
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Abstract: | Let X denote a (real) Banach space and V an n-dimensional subspace. We denote by the space of all bounded linear operators from X into V; let be the set of all projections in . For a given , we denote by the set of operators such that PSS. When , we characterize those for which P is minimal. This characterization is then utilized in several applications and examples. |
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