Abstract
Schatten classes Cp of operators on a Hilbert space are classical non-commutative Banach space analogues of spaces lp. The result by Odell and Schlumprecht [OS] that spaces lp are arbitrarily distortable for 1 <p< ∞, suggests that a similar situation might be true for Schatten classes as well. In this note we prove that it is indeed so: for 1 <p< ∞, spaces Cp are arbitrarily distortable.
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Tomczak-Jaegermann, N. (1995). Distortions on Schatten Classes Cp . In: Lindenstrauss, J., Milman, V. (eds) Geometric Aspects of Functional Analysis. Operator Theory Advances and Applications, vol 77. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9090-8_27
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DOI: https://doi.org/10.1007/978-3-0348-9090-8_27
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9902-4
Online ISBN: 978-3-0348-9090-8
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