About one class of bases in some spaces of functions analytical in a unit disk

Gennadii M. Gubreev; Elena I. Olefir

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About one class of bases in some spaces of functions analytical in a unit disk

机译：关于单位磁盘中分析的某些功能空间中的一类基础

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摘要

An abstract scheme of solution to the problem of constructing the unconditional bases of a special form in the Hilbert spaces of functions analytical in a unit disk is described. An application to the theory of infinite matrices in the l_2 space is given.

机译：描述了一种在单元盘中解析函数的希尔伯特空间中构造特殊形式的无条件基数问题的解决方案的抽象方案。给出了在l_2空间中无限矩阵理论的一个应用。

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来源
《Journal of Mathematical Sciences》 |2013年第5期|532-538|共7页
作者
Gennadii M. Gubreev; Elena I. Olefir;
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作者单位

Yu. Kondratyuk Poltava National Technical University 24, Pervomaiskii Prosp., Poltava 36601, Ukraine;

K. D. Ushinskii South-Ukrainian National Pedagogical University 26, Staroportofrankovskaya Str., Odessa 65020, Ukraine;

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正文语种 eng
中图分类
关键词
Unconditional bases; nonself-adjoint operators; de Branges spaces; sine-type function;

机译：无条件基础;非自伴运算符;de Branges空间;正弦函数;

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机译：单位磁盘上某些解析函数空间上的积分算子范数

About one class of bases in some spaces of functions analytical in a unit disk

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