Operators in rigged Hilbert spaces: Some spectral properties

被引：13

作者：

Bellomonte, Giorgia ^{[1
]}

Di Bella, Salvatore ^{[1
]}

Trapani, Camillo ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 411卷 / 02期

关键词：

Rigged Hilbert spaces; Operators; Spectrum; QUASI-ASTERISK-ALGEBRAS; BOUNDED ELEMENTS; MULTIPLICATION; RESONANCES;

D O I：

10.1016/j.jmaa.2013.10.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A notion of resolvent set for an operator acting in a rigged Hilbert space D subset of H subset of D-x is proposed. This set depends on a family of intermediate locally convex spaces living between D and D-x, called interspaces. Some properties of the resolvent set and of the corresponding multivalued resolvent function are derived and some examples are discussed. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：931 / 946

页数：16

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