Idempotent linear relations

被引：2

作者：

Laura Ariasa, M. ^{[1
,2
]}

Continoa, Maximiliano ^{[1
,2
]}

Maestripieria, Alejandra ^{[1
,2
]}

Marcantogninia, Stefania ^{[1
,3
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat Alberto P Calderon, Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, Fac Ingn, Dept Matemat, Buenos Aires, DF, Argentina

[3] Univ Nacl Gen Sarmiento, Inst Ciencias, Los Polvorines, Buenos Aires, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 516卷 / 02期

关键词：

Multivalued linear operators; Linear relations; Projections; Idempotents; LEAST-SQUARES SOLUTIONS;

D O I：

10.1016/j.jmaa.2022.126559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linear relation E acting on a Hilbert space is idempotent if E-2 = E. A triplet of subspaces is needed to characterize a given idempotent: (ran E, ran(I- E), dom E), or equivalently, (ker(I- E), ker E, mul E). The relations satisfying the inclusions E-2 subset of E(sub-idempotent) or E subset of E-2(super-idempotent) play an important role. Lastly, the adjoint and the closure of an idempotent linear relation are studied. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：21

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