Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Minimal projections and absolute projection constants for regular polyhedral spaces

Authors: Bruce L. Chalmers and Boris Shekhtman
Journal: Proc. Amer. Math. Soc. 95 (1985), 449-452
MSC: Primary 51M20; Secondary 46B20
MathSciNet review: 806085
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ V = [{v_1}, \ldots ,{v_n}]$ be the $ n$-dimensional space of coordinate functions on a set of points $ \tilde v \subset {{\mathbf{R}}^n}$ where $ \tilde v$ is the set of vertices of a regular convex polyhedron. In this paper the absolute projection constant of any $ n$-dimensional Banach space $ E$ isometrically isomorphic to $ V \subset C(\tilde v)$ is computed, examples of which are the well-known cases $ E = l_n^\infty ,l_n^1$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 51M20, 46B20

Retrieve articles in all journals with MSC: 51M20, 46B20

Additional Information

Article copyright: © Copyright 1985 American Mathematical Society