Nontrivial isometries on alpha).

Campbell, Stephen L.

Displaying similar documents to “Nontrivial isometries on $s_{p} ($ alpha).”

Notes on isometries

Kentaro Yano (1972)

Colloquium Mathematicae

Similarity:

A note on finite codimensional linear isometries of $C (X)$ into $C (Y)$ .

Takahasi, Sin-Ei, Okayasu, Takateru (1995)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Finite codimensional linear isometries on spaces of differentiable and Lipschitz functions

Hironao Koshimizu (2011)

Open Mathematics

Similarity:

We characterize finite codimensional linear isometries on two spaces, C (n)[0; 1] and Lip [0; 1], where C (n)[0; 1] is the Banach space of n-times continuously differentiable functions on [0; 1] and Lip [0; 1] is the Banach space of Lipschitz continuous functions on [0; 1]. We will see they are exactly surjective isometries. Also, we show that C (n)[0; 1] and Lip [0; 1] admit neither isometric shifts nor backward shifts.