Banach spaces of typep have arbitrarily distortable subspaces |
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Authors: | Nicole Tomczak-Jaegermann |
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Institution: | (1) Department of Mathematical Sciences, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada |
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Abstract: | It is shown that if a Banach space has bounded distortions then it contains an unconditional basic sequence. It follows that Banach spaces of typep > 1 contain arbitrarily distortable subspaces. Furthermore, hereditarily indecomposable Banach spaces are themselves arbitrarily distortable. |
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Keywords: | |
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