Banach spaces of von Neumann type (Q2907555)
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scientific article; zbMATH DE number 6080467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Banach spaces of von Neumann type |
scientific article; zbMATH DE number 6080467 |
Statements
10 September 2012
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tensor product
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relative tensor norm
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infinite dimensional Laplacian
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Banach spaces of von Neumann type (English)
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To quote the abstract, ``the objective of this paper is to construct infinite tensor product Banach spaces that parallel von Neumann's construction of Hilbert spaces.'' To do this, the authors use a result due to \textit{L. Gross} [in: Proc. 5th Berkeley Symp. Math. Stat. Probab., Univ. Calif. 1965/66 2, Part 1, 31--42 (1967; Zbl 0187.40903)] and \textit{J. Kuelbs} [J. Funct. Anal. 5, 354--367 (1970; Zbl 0194.44703)] saying that a separable Banach space can be squeezed between two Hilbert spaces in the sense of continuous dense embeddings.
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