Nontrivial isometries on alpha).
Campbell, Stephen L. (1982)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A note on finite codimensional linear isometries of into .”
Nontrivial isometries on alpha).
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We say that an infinite, zero dimensional, compact Hausdorff space K has property (*) if for every nonempty open subset U of K there exists an open and closed subset V of U which is homeomorphic to K. We show that if K is a compact Hausdorff space with property (*) and X is a Banach space which contains a subspace isomorphic to the space C(K) of all scalar (real or complex) continuous functions on K and Y is a closed linear subspace of X which does not contain any subspace isomorphic...
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R. W. Cross (1994)
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A linear operator T: D(T) ⊂ X → Y, when X and Y are normed spaces, is called (UO) if every infinite dimensional subspace M of D(T) contains another such subspace N for which T|N is open (in the relative sense). The following properties are shown to be equivalent: (i) T is UO, (ii) T is ubiquitously almost open, (iii) no infinite dimensional restriction of T is injective and precompact, (iv) either T is upper semi-Fredholm or T has finite dimensional range, (v) for each infinite dimensional...