Bulletin of the Belgian Mathematical Society - Simon Stevin

One-sided interpolation of injective tensor products of Banach spaces

Carsten Michels

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Abstract

The Kouba formula for the complex interpolation of injective tensor products requires all spaces involved to be at least of cotype $2$. We show that this can be weakened when one side of the tensor products is fixed.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 14, Number 3 (2007), 531-538.

Dates
First available in Project Euclid: 28 September 2007

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1190994215

Mathematical Reviews number (MathSciNet)
MR2387051

Zentralblatt MATH identifier
1145.46043

Subjects
Primary: 46M35: Abstract interpolation of topological vector spaces [See also 46B70] 46M05: Tensor products [See also 46A32, 46B28, 47A80] 47B10: Operators belonging to operator ideals (nuclear, p-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20]

Citation

Michels, Carsten. One-sided interpolation of injective tensor products of Banach spaces. Bull. Belg. Math. Soc. Simon Stevin 14 (2007), no. 3, 531--538. https://projecteuclid.org/euclid.bbms/1190994215


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