Representation of the compact-valued sublinear operator by basis selectors packet and sub-invertibility

机译：基本选择器包和子可逆性表示紧值亚线性算子

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We consider two close ways of linearization for sublinear operator that takes compact convex values. The first way consists in a representation of given multioperator by the family of so called basis selectors that are single-valued linear bounded operators. The second way consists in linear extension of given multioperator from its values on some Hamel basis. Every of the ways above leads to its own concept of subinvertibility for the initial multioperator.

机译：对于采用紧凑凸值的亚线性算子，我们考虑了两种接近的线性化方法。第一种方法是由所谓的基础选择器族表示给定的多运算符，这些选择器是单值线性有界运算符。第二种方法是根据给定的多操作符在Hamel的基础上对其值进行线性扩展。上面的每种方式都会导致其自己的初始多操作员不可逆性概念。

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《2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov)》|2017年|1-4|共4页
会议地点 St. Petersburg(RU)
作者
Svetlana Smirnova; Igor Orlov;
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作者单位

Crimean Federal University, Simferopol, Russia;

Crimean Federal University, Simferopol, Russia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Electronic mail; Optimization; Calculus; Tools; Kernel; Standards; Estimation;

机译：电子邮件;优化;微积分;工具;内核;标准;估算;

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4. Representation of the compact-valued sublinear operator by basis selectors packet and sub-invertibility [C] . Svetlana Smirnova, Igor Orlov Constructive Nonsmooth Analysis and Related Topics (Conference) . 2017

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8. A Note on the Eigenvalue Problem for Sublinear Hammerstein Operators [R] . Parter, S. V. 1969

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Representation of the compact-valued sublinear operator by basis selectors packet and sub-invertibility

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