Alspach, Dale E. 1950-
Tensor products and independent sums of Lp-spaces, 1
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 $\mathcal _p$-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
9781470402495 (online)
Lp spaces.
Tensor products.
QA3 QA323 / .A57 no. 660
510 s 515/.73
Tensor products and independent sums of Lp-spaces, 1
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 $\mathcal _p$-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
9781470402495 (online)
Lp spaces.
Tensor products.
QA3 QA323 / .A57 no. 660
510 s 515/.73