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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 3, Pages 615-619
doi:10.1155/S0161171287000735

Isometries of a function space

U.D. Vyas

Department of Mathematics and Computer Science, Winston-Salem State University, Winston-Salem 27110, North Carolina, USA

Abstract

It is proved here that an isometry on the subset of all positive functions of L1⋂Lp(ℝ) can be characterized by means of a function h together with a Borel measurable mapping ϕ of ℝ, thus generalizing the Banach-Lamparti theorem of Lp spaces.