Banach embedding properties of non-commutative Lp-spaces

Let $\mathcal N$ and $\mathcal M$ be von Neumann algebras. It is proved that $L^p(\mathcal N)$ does not linearly topologically embed in $L^p(\mathcal M)$ for $\mathcal N$ infinite, $\mathcal M$ finite, $1\le p<2$. The following considerably stronger result is obtained (which implies this, since t...

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Bibliographic Details

Main Authors:	Haagerup, U., Rosenthal, Haskell P., Sukochev, F. A.
Format:	eBook Book
Language:	English
Published:	Providence, R.I American Mathematical Society 2003
Series:	Memoirs of the American Mathematical Society
Subjects:	Lp spaces Noncommutative function spaces Normed linear spaces Von Neumann algebras
ISBN:	0821832719, 9780821832714
Online Access:	Get full text
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