Regular multilinear operators on C(K) spaces

被引：3
|
作者：
Bombal, F [1 ]
Villanueva, I [1 ]
机构：
[1] Univ Complutense Madrid, Dept Anal Matemat, E-28040 Madrid, Spain
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1999年 / 60卷 / 01期
关键词：
D O I：
10.1017/S0004972700033281
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to characterise the class of regular continuous multilinear operators on a product of C(K) spaces, with values in an arbitrary Banach space. This class has been considered recently by several authors in connection with problems of factorisation of polynomials and holomorphic mappings. We also obtain several characterisations of a compact dispersed space K in terms of polynomials and multilinear forms defined on C(K).
引用
收藏
页码：11 / 20
页数：10
相关论文
共 50 条
  • [1] Multilinear operators on C(K,X) spaces
    Villanueva, I
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (01) : 31 - 54
  • [2] Multilinear Operators on C(K, X) Spaces
    Ignacio Villanueva
    Czechoslovak Mathematical Journal, 2004, 54 : 31 - 54
  • [3] Completely continuous multilinear operators on C(K) spaces
    Villanueva, I
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (03) : 793 - 801
  • [4] Some classes of multilinear operators on C(K) spaces
    Bombal, F
    Fernández, M
    Villanueva, I
    STUDIA MATHEMATICA, 2001, 148 (03) : 259 - 273
  • [5] The positive Schur property on positive projective tensor products and spaces of regular multilinear operators
    Botelho, Geraldo
    Bu, Qingying
    Ji, Donghai
    Navoyan, Khazhak
    MONATSHEFTE FUR MATHEMATIK, 2022, 197 (04): : 565 - 578
  • [6] The positive Schur property on positive projective tensor products and spaces of regular multilinear operators
    Geraldo Botelho
    Qingying Bu
    Donghai Ji
    Khazhak Navoyan
    Monatshefte für Mathematik, 2022, 197 : 565 - 578
  • [7] Integral Multilinear Forms on C(K, X) Spaces
    Ignacio Villanueva
    Czechoslovak Mathematical Journal, 2004, 54 : 373 - 378
  • [8] Integral multilinear forms on C(K,X) spaces
    Villanueva, I
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (02) : 373 - 378
  • [9] Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples
    Palazuelos, Carlos
    Peralta, Antonio M.
    Villanueva, Ignacio
    STUDIA MATHEMATICA, 2009, 192 (02) : 129 - 146
  • [10] ON THE SPACE OF ALL REGULAR OPERATORS FROM C(K) INTO C(K)
    ANDREU, A
    MAZON, JM
    DELEON, SS
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1988, 91 (03): : 225 - 230
12345