On a class of K-p.d. and non-K-p.d. operators and operator equations

DOI10.1016/0022-247X(65)90142-3zbMath0135.36503MaRDI QIDQ2521132

W. V. Petryshyn

Publication date: 1965

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (28)

Existence and multiplicity results for nonstandard semilinear biharmonic boundary value problems ⋮ A class of densely invertible parabolic operator equations ⋮ Unnamed Item ⋮ Steepest descent for singular linear operators with nonclosed range ⋮ Nonlinear friedrichs' extension of K-strongly stable operators and the error estimate for the Galerkin method ⋮ On the Inversion of Matrices and Linear Operators ⋮ Well Posed Variational Problems and Friedrichs Extensions ⋮ K-positive definite ordinary differential operators of the third order ⋮ Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation ⋮ Abstract holography ⋮ On commutation property of ordinary linear differential expressions ⋮ On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings ⋮ Estimate of error of an approximated solution by the method of moments of an operator equation ⋮ Implicit approximation scheme for the solution of \(K\)-positive definite operator equation ⋮ On the Extrapolated Jacobi or Simultaneous Displacements Method in the Solution of Matrix and Operator Equations ⋮ Bounds for eigenvalues of a class of unbounded, nonsymmetric operators ⋮ Variational principles for nonpotential operators ⋮ A variational method for nonlinear multivalued operators ⋮ To a nonlocal generalization of the Dirichlet problem ⋮ Some theorems concerning the projection-iteration method ⋮ Analysis of Generalised Galerkin methods in the numerical solution of elliptic equations ⋮ Extension of nonlinear densely defined operators, rates of convergence for the error and the residual, and application to differential equations ⋮ On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems ⋮ On the iteration, projection and projection-iteration methods in the solution of nonlinear functional equations ⋮ Approximate solutions to the time-invariant Hamilton-Jacobi-Bellman equation ⋮ Über die Lösung regulärer koerzitiver Rand- und Eigenwertaufgaben mit dem Galerkinverfahren ⋮ Diskrete Konvergenz linearer Operatoren. II ⋮ A stability analysis for the extended Kantorovich method applied to the torsion problem

Cites Work

• Functional analysis and partial differential equations. I
• Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. II
• Symmetrizable completely continuous linear transformations in Hilbert space
• Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
• On a General Iterative Method for the Approximate Solution of Linear Operator Equations
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