Amazon cover image
Image from Amazon.com
Image from Google Jackets

Tensor products and independent sums of Lp-spaces, 1<p<[infinity] / [electronic resource] Dale E. Alspach.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 660Publication details: Providence, R.I. : American Mathematical Society, 1999.Description: 1 online resource (viii, 77 p.)ISBN:
  • 9781470402495 (online)
Subject(s): Additional physical formats: Tensor products and independent sums of Lp-spaces, 1<p<[infinity] /DDC classification:
  • 510 s 515/.73 21
LOC classification:
  • QA3 .A57 no. 660 QA323
Online resources:
Contents:
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
Item type: E-BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Home library Call number Materials specified URL Status Date due Barcode
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

Access is restricted to licensed institutions

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India