NUCLEAR MAPS AND MODULAR STRUCTURES .1. GENERAL-PROPERTIES

被引：56

作者：

BUCHHOLZ, D

DANTONI, C

LONGO, R

机构：

[1] UNIV ROME LA SAPIENZA,DEPARTIMENTO MATEMAT,I-00185 ROME,ITALY

[2] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 88卷 / 02期

关键词：

D O I：

10.1016/0022-1236(90)90104-S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a correspondence between the split property of inclusions A ⊂ B of von Neumann algebras and nuclearity properties of the natural embeddings φp: L∞(A) → Lp(B), p = 1, 2, given by the modular theory. © 1990.

引用

页码：233 / 250

页数：18

共 21 条

[11] STANDARD AND SPLIT INCLUSIONS OF VONNEUMANN-ALGEBRAS [J].

DOPLICHER, S ;

LONGO, R .

INVENTIONES MATHEMATICAE, 1984, 75 (03) :493-536

[12] POSITIVE COMPACT OPERATOR [J].

FREMLIN, DH .

MANUSCRIPTA MATHEMATICA, 1975, 15 (04) :323-327

[13]

Grothendieck A., 1955, MEMOIRS AM MATHEMATI, V16, P1, DOI DOI 10.1090/MEMO/0016

[14]

HAAG R, 1965, COMMUN MATH PHYS, V45, P35

[15]

Haagreup U., 1979, C INT CNRS 274 MARS, V274, P175

[16] L(P) SPACES OF A VONNEUMANN ALGEBRA DEFINED BY THE SPATIAL DERIVATIVE [J].

HILSUM, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 40 (02) :151-169

[17]

Jarchow H., 1981, LOCALLY CONVEX SPACE, DOI DOI 10.1007/978-3-322-90559-8

[18] REMARKS ON TYPE OF VON NEUMANN ALGEBRAS OF LOCAL OBSERVABLES IN QUANTUM FIELD THEORY [J].

KADISON, RV .

JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (12) :1511-&

[19] APPLICATIONS OF UNIFORM CONVEXITY OF NONCOMMUTATIVE LP-SPACES [J].

KOSAKI, H .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 283 (01) :265-282

[20]

Popa, 1986, INCREST PREPRINT, V56

← 1 2 3 →