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Subspaces of small codimension of finite-dimensional Banach spaces


Authors: Alain Pajor and Nicole Tomczak-Jaegermann
Journal: Proc. Amer. Math. Soc. 97 (1986), 637-642
MSC: Primary 46B20; Secondary 41A46, 47B10
DOI: https://doi.org/10.1090/S0002-9939-1986-0845980-8
MathSciNet review: 845980
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Abstract: Given a finite-dimensional Banach space $ E$ and a Euclidean norm on $ E$, we study relations between the norm and the Euclidean norm on subspaces of $ E$ of small codimension. Then for an operator taking values in a Hilbert space, we deduce an inequality for entropy numbers of the operator and its dual.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0845980-8
Article copyright: © Copyright 1986 American Mathematical Society

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