Tensor products and independent sums of Lp-spaces, 1<p<[infinity] / [electronic resource] Dale E. Alspach.
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TextSeries: Memoirs of the American Mathematical Society ; v. 660Publication details: Providence, R.I. : American Mathematical Society, 1999Description: 1 online resource (viii, 77 p.)ISBN: 9781470402495 (online)Subject(s): Lp spaces | Tensor productsAdditional physical formats: Tensor products and independent sums of Lp-spaces, 1<p<[infinity] /DDC classification: 510 s | 515/.73 LOC classification: QA3 | .A57 no. 660 | QA323Online resources: Contents | Contents 
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| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK13113 |
On t.p. "[infinity]" appears as the infinity symbol.
"Volume 138, number 660 (third of 4 numbers)."
Includes bibliographical references (p. 76-77).
0. Introduction 1. The constructions of $\mathcal {L}_p$-spaces 2. Isomorphic properties of $(p, 2)$-sums and the spaces $R^\alpha _p$ 3. Isomorphic classification of $R^\alpha _p$, $\alpha < \omega _1$ 4. Isomorphism from $X_p \otimes X_p$ into $(p, 2)$-sums 5. Selection of bases in $X_p \otimes X_p$ 6. $X_p \otimes X_p$-preserving operators on $X_p \otimes X_p$ 7. Isomorphisms of $X_p \otimes X_p$ onto complemented subspaces of $(p, 2)$-sums 8. $X_p \otimes X_p$ is not in the scale $R^\alpha _p$, $\alpha < \omega _1$ 9. Final remarks and open problems
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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