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Maslov’s canonical operator in abstract spaces

✍ Scribed by O. Yu. Shvedov


Book ID
110614128
Publisher
SP MAIK Nauka/Interperiodica
Year
1999
Tongue
English
Weight
892 KB
Volume
65
Category
Article
ISSN
0001-4346

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Canonical Operator Space Structures on N
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We analyze canonical operator space structures on the non-commutative L p spaces L p ' (M; ., |) constructed by interpolation a la Stein Weiss based on two normal semifinite faithful weights ., | on a W\*-algebra M. We show that there is only one canonical (i.e. arising by interpolation) operator sp

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## Abstract On weighted spaces with strictly plurisubharmonic weightfunctions the canonical solution operator of $ {\bar \partial } $ and the $ {\bar \partial } $‐Neumann operator are bounded. In this paper we find a class of strictly plurisubharmonic weightfunctions with certain growth conditions,