Köthe-Bochner空间上的线性和连续算子

IF 0.9 4区数学 Q2 Mathematics

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI:10.5186/AASFM.2019.4454

I. Chitescu, Razvan-Cornel Sfetcu

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引用次数: 0

摘要

Köthe-Bochner空间Lρ(E)是标量Köthe空间Lρ的向量值版本，它推广了Lebesgue空间L, Orlicz空间和许多其他泛函空间。本文研究了线性连续算子U: Lρ(E)→F，给出了它们的积分表示。这些算子生成算子V: Lρ→L(E,F)，我们称之为“自然算子”，在这里进行研究。

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Linear and continuous operators on Köthe–Bochner spaces

The Köthe–Bochner spaces Lρ(E) are the vector valued version of the scalar Köthe spaces Lρ, which generalize the Lebesgue spaces L , the Orlicz spaces and many other functional spaces. In the present paper we study the linear and continuous operators U : Lρ(E) → F , giving integral representations for them. These operators generate operators V : Lρ → L(E,F ) which we call “natural operators” and study here.

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来源期刊

Annales Academiae Scientiarum Fennicae-Mathematica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio. AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.