TY  - BOOK
AU  - Alspach,Dale E.
TI  - Tensor products and independent sums of Lp-spaces, 1<p<[infinity]
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470402495 (online)
AV  - QA3QA323 .A57 no. 660
U1  - 510 s515/.73 21
PY  - 1999///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Lp spaces
KW  - Tensor products
N1  - 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
UR  - http://www.ams.org/memo/0660
UR  - http://dx.doi.org/10.1090/memo/0660
ER  -