The Banach-Mazur distance between the trace classes
Author:
Nicole Tomczak-Jaegermann
Journal:
Proc. Amer. Math. Soc. 72 (1978), 305-308
MSC:
Primary 46B20
DOI:
https://doi.org/10.1090/S0002-9939-1978-0507329-5
MathSciNet review:
507329
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Abstract | References | Similar Articles | Additional Information
Abstract: The Banach-Mazur distance between and
is shown to be of the order
. Our proof yields that the distance between the trace classes
and
is of the same order as
.
- [1] T. Figiel, J. Lindenstrauss and V. Milman, The dimension of almost spherical section of convex bodies, Acta Math. 139 (1977), 52-94. (Russian) MR 0445274 (56:3618)
- [2]
V. Gurariĭ, M. Kadec and V. Macaev, On the distance between finite dimensional
spaces, Mat. Sb. 70 (1966), 481-489. MR 0196462 (33:4649)
- [3]
N. Tomczak-Jaegermann, The moduli of smoothness and convexity and the Rademacher averages of trace classes
, Studia Math. 50 (1974), 163-182. MR 0355667 (50:8141)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1978-0507329-5
Keywords:
Banach-Mazur distance,
trace class,
tensor products,
cross norms
Article copyright:
© Copyright 1978
American Mathematical Society