若干保持不相交支持性质的线性算子

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-08-01 DOI:10.22130/SCMA.2021.115697.690

N. Eftekhari, A. Eshkaftaki

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引用次数: 0

摘要

这项工作的目的是刻画所有保持不相交支持性质的有界线性算子$T:lpirightarrowlpi$。我们证明了$lpi$上所有等距的常系数都在这类算子中，其中$2neq-pin[1，infty）$和$I$是非空集{c}_｛0｝（I）.$最后，我们得到了Banach空间上等距的一些等价性质。

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On Some Linear Operators Preserving Disjoint Support Property

The aim of this work is to characterize all bounded linear operators $T:lpirightarrowlpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $lpi$ are in the class of such operators, where $2neq pin [1,infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.

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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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