Mixed-type reverse order law, ternary powers and functional calculus

被引：2

作者：

Dincic, Nebojsa C. ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 01期

关键词：

Moore-Penrose inverse; Reverse order law; Ternary power; Ternary polynomial; Borel functional calculus; MOORE-PENROSE INVERSE;

D O I：

10.1007/s13398-019-00750-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present generalization of some results related to the mixed-type reverse order law for the Moore-Penrose inverse of various products of three operators on arbitrary Hilbert spaces. The generalization is done by using either the ternary powers or Borel functional calculus for bounded selfadjoint operators.

引用

页数：13

共 19 条

[1]

[Anonymous], 2003, CMS books in Mathematics

[2]

[Anonymous], 1980, Functional analysis

[3]

Arghiriade E., 1963, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur, V8, P244

[4] PSEUDO-INVERSE OF A PRODUCT [J].

BOULDIN, R .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 24 (04) :489-495

[5]

Bouldin R.H., 1982, Res. Notes in Math., V66, P233

[6]

CARADUS SR, 1978, QUEENS PAPERS PURE A, V50

[7]

DINI N, 2014, LINEAR MULTILINEAR A, V62, P918, DOI DOI 10.1080/03081087.2013.794945

[8]

Dini N, 2011, LINEAR ALGEBRA APPL, V435, P2658, DOI [10.1016/j.laa.2011.04.021, DOI 10.1016/J.LAA.2011.04.021]

[9]

Djordjevi D, 2008, LECT GEN INVERSES

[10] Further results on the reverse order law for generalized inverses [J].

Djordjevic, Dragan S. .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2007, 29 (04) :1242-1246

← 1 2 →