A SHORT PROOF OF A THEOREM OF PFITZNER

被引:4
作者
Fernandez-Polo, Francisco J. [1 ]
Peralta, Antonio M. [1 ]
机构
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
关键词
C-ASTERISK-ALGEBRA; WEAK COMPACTNESS; DUAL-SPACE; OPERATORS;
D O I
10.1093/qmath/hap002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present a new and shorter proof of the characterization of weak compactness in the dual of a C*-algebra obtained by Pfitzner [H. Pfitzner, Weak compactness in the dual of a C*-algebra is determined commutatively, Math. Ann. 298(2) (1994), 349-371].
引用
收藏
页码:329 / 336
页数:8
相关论文
共 13 条
[1]   DUAL SPACE OF AN OPERATOR ALGEBRA [J].
AKEMANN, CA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 126 (02) :286-&
[2]  
[Anonymous], 1985, Factorization of Linear Operators and Geometry of Banach Spaces
[3]  
[Anonymous], THEORY OPERATOR ALGE
[4]   The range of operators on von Neumann algebras [J].
Bermúdez, T ;
Kalton, NJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (05) :1447-1455
[5]   When absolute continuity on C*-algebras is automatically uniform [J].
Brooks, JK ;
Saitô, K ;
Wright, JDM .
QUARTERLY JOURNAL OF MATHEMATICS, 2004, 55 :31-40
[6]   Convergence in the dual of a σ-complete C*-algebra [J].
Brooks, JK ;
Wright, JDM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) :141-146
[7]   Closed tripotents and weak compactness in the dual space of a JB*-triple [J].
Fernandez-Polo, Francisco J. ;
Peralta, Antonio M. .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2006, 74 :75-92
[8]   *SUR LES APPLICATIONS LINEAIRES FAIBLEMENT COMPACTES DESPACES DU TYPE-C(K) [J].
GROTHENDIECK, A .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1953, 5 (02) :129-173
[9]  
HAAGERUP U, 2003, MEMORIES AM MATH SOC, V163
[10]   BASES, FINITE DIMENSIONAL DECOMPOSITIONS AND WEAKER STRUCTURES IN BANACH SPACES [J].
JOHNSON, WB ;
ROSENTHAL, HP ;
ZIPPIN, M .
ISRAEL JOURNAL OF MATHEMATICS, 1971, 9 (04) :488-+