scholarly journals Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators

2022 ◽  
Author(s):  
Qing Hong ◽  
Guorong Hu
Keyword(s):  
Adjoint Operators

Localization of the spectrum of certain non-self-adjoint operators

1968 ◽  
Vol 3 (4) ◽  
pp. 264-266
Author(s):  
M. M. Gekhtman
Keyword(s):  
Adjoint Operators

scholarly journals Singular Perturbations of Self-Adjoint Operators

2003 ◽  
Vol 6 (4) ◽  
pp. 349-384 ◽  
Author(s):  
Vladimir Derkach ◽  
Seppo Hassi ◽  
Henk de Snoo
Keyword(s):  
Singular Perturbations ◽  
Adjoint Operators

scholarly journals Functions of perturbed tuples of self-adjoint operators

2012 ◽  
Vol 350 (7-8) ◽  
pp. 349-354 ◽  
Author(s):  
Fedor Nazarov ◽  
Vladimir Peller
Keyword(s):  
Adjoint Operators

M. A. Krasnosel'skii Theorem and Iterative Methods for Solving Ill-Posed Linear Problems with a Self-Adjoint Operator

2015 ◽  
Vol 15 (3) ◽  
pp. 373-389
Author(s):  
Oleg Matysik ◽  
Petr Zabreiko
Keyword(s):  
Hilbert Space ◽  
Iterative Methods ◽  
Critical Case ◽  
Adjoint Operator ◽  
Successive Approximations ◽  
Operator Equations ◽  
Ill Posed ◽  
Linear Problems ◽  
Adjoint Operators ◽  
Linear Operator Equations

AbstractThe paper deals with iterative methods for solving linear operator equations ${x = Bx + f}$ and ${Ax = f}$ with self-adjoint operators in Hilbert space X in the critical case when ${\rho (B) = 1}$ and ${0 \in \operatorname{Sp} A}$. The results obtained are based on a theorem by M. A. Krasnosel'skii on the convergence of the successive approximations, their modifications and refinements.

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