广义伴随及其在复合算子上的应用

IF 0.3 4区数学 Q4 MATHEMATICS

Mathematica Scandinavica Pub Date : 2018-10-30 DOI:10.7146/math.scand.a-119684

G. Botelho, Leodan A. Torres

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引用次数: 3

摘要

我们推广了线性算子的经典伴随概念和齐次多项式的Aron-Schottelloher伴随概念。一般（非线性）概念被证明具有经典（线性）概念所具有的几个性质，然而，非线性理论中出现了新的有趣现象。证明并不总是线性情况的简单适应，实际上通常需要非线性自变量。给出了合成算子的Lindström-Schlüchtermann型定理的广义邻接的应用。

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Generalized adjoints and applications to composition operators

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 Lindström-Schlüchtermann type theorems for composition operators are provided.

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.