GENERALIZED ADJOINTS AND APPLICATIONS TO COMPOSITION OPERATORS

被引：1
|
作者：
Botelho, Geraldo [1 ]
Torres, Leodan A. [2 ]
机构：
[1] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG, Brazil
[2] IMECC UNICAMP, Dept Matemat, BR-13083859 Campinas, Brazil
来源：
MATHEMATICA SCANDINAVICA | 2020年 / 126卷 / 02期
关键词：
HOLOMORPHIC MAPPINGS; MULTILINEAR MAPPINGS; IDEALS; POLYNOMIALS;
D O I：
10.7146/math.scand.a-119684
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalize the classical notion of adjoint of a linear operator and the Aron-Schottenloher notion of adjoint of a homogeneous polynomial. The general (nonlinear) notion is shown to enjoy several properties enjoyed by the classical (linear) ones, nevertheless new interesting phenomena arise in the nonlinear theory. The proofs are not always simple adaptations of the linear cases, actually nonlinear arguments are often required. Applications of the generalized adjoints to Lindstrom-Schluchtermann type theorems for composition operators are provided.
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页码：367 / 386
页数：20
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