scholarly journals Drazin-Star and Star-Drazin Inverses of Bounded Finite Potent Operators on Hilbert Spaces

2021 ◽  
Vol 77 (1) ◽  
Author(s):  
Fernando Pablos Romo
Keyword(s):  
Linear Systems ◽  
Hilbert Spaces ◽  
Explicit Solutions ◽  
Finite Complex ◽  
Complex Matrix ◽  
Infinite Linear Systems ◽  
Infinite Linear

AbstractThe aim of this work is to extend to bounded finite potent endomorphisms on arbitrary Hilbert spaces the notions of the Drazin-Star and the Star-Drazin of matrices that have been recently introduced by D. Mosić. The existence, structure and main properties of these operators are given. In particular, we obtain new properties of the Drazin-Star and the Star-Drazin of a finite complex matrix. Moreover, the explicit solutions of some infinite linear systems on Hilbert spaces from the Drazin-Star inverse of a bounded finite potent endomorphism are studied.

scholarly journals Infinite linear systems with homogeneous kernel of degree –1

1965 ◽  
Vol 5 (2) ◽  
pp. 129-168
Author(s):  
T. M. Cherry
Keyword(s):  
Continuous Function ◽  
Linear Systems ◽  
Algebraic Function ◽  
Additional Restriction ◽  
Main Concern ◽  
Homogeneous Kernel ◽  
Infinite Linear Systems ◽  
Image Position ◽  
Infinite Linear

The main concern of this paper is with the solution of infinite linear systems in which the kernel k is a continuous function of real positive variables m, n which is homogeneous with degree –1, so that If k is a rational algebraic function it is supposed further that the continuity extends up to the axes m = 0, n > 0 and n = 0, m > 0; the possibly additional restriction when k is not rational is discussed in § 1,2.

Overdetermined Infinite Linear Systems

2009 ◽  
Author(s):  
Béla Finta ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Linear Systems ◽  
Infinite Linear Systems ◽  
Infinite Linear

Complex Overdetermined Infinite Linear Systems

2011 ◽  
Author(s):  
Béla Finta ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi
Keyword(s):  
Linear Systems ◽  
Infinite Linear Systems ◽  
Infinite Linear

Solvability of Infinite Linear Systems

2021 ◽  
pp. 315-358
Author(s):  
Bruno de Malafosse ◽  
Eberhard Malkowsky ◽  
Vladimir Rakočević
Keyword(s):  
Linear Systems ◽  
Infinite Linear Systems ◽  
Infinite Linear

Infinite Linear Systems

1963 ◽  
Vol s1-38 (1) ◽  
pp. 335-340 ◽  
Author(s):  
G. M. Petersen ◽  
Anne C. Thompson
Keyword(s):  
Linear Systems ◽  
Infinite Linear Systems ◽  
Infinite Linear
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