LOCAL AND UNIFORM NEAR SMOOTHNESS OF SOME BANACH SPACES

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-05-16 DOI:10.5556/J.TKJM.28.1997.4247

L. Olszowy

引用次数: 0

Abstract

In this paper we give an estimate of the modulus of near smoothness of the space $c_o(E_i)$. In the case of the space $c_o(l_{p_i})$ the exact formula for this modulus is derived. Moreover, we show that the properties of near uniform smoothness and local near uniform smoothness are hereditary with respect to the product space $c_o(E_i)$.

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某些巴拿赫空间的局部一致近似光滑性

本文给出了空间c_o(E_i)$的近光滑模量的估计。在空间$c_o(l_{p_i})$的情况下，导出了该模量的确切公式。此外，我们还证明了关于积空间c_o(E_i)$的近似均匀光滑和局部近似均匀光滑的性质是遗传的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.