Vol. 38, No. 1, 1971

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Linear isometries of some function spaces

N. V. Rao and Ashoke Kumar Roy

Vol. 38 (1971), No. 1, 177–192

The purpose of this paper is to describe the linear isometries of the Banach algebras of continuously differentiable functions, Lipschitz functions and absolutely continuous functions on the unit interval with the norms described below. It is also shown how these results continue to hold for more general norms which come from compact convex bodies in C2 satisfying certain properties.

Mathematical Subject Classification 2000
Primary: 46E25
Received: 7 January 1971
Published: 1 July 1971
N. V. Rao
Ashoke Kumar Roy