Optimal bounds for bilinear forms associated with linear equations

DOI10.1002/MMA.1670070137zbMath0612.47010OpenAlexW1976794551MaRDI QIDQ3752958

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Publication date: 1985

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670070137

zbMATH Keywords

optimal approximationbounded inverse

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Functional calculus for linear operators (47A60) Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (5)

Approximation of integral quantities in nuclear reactor physics ⋮ METHOD OF APPROXIMATE INVERSE FOR SOLVING EQUATIONS IN HILBERT SPACES ⋮ APPROXIMATION OF LINEAR FUNCTIONALS ⋮ Approximation to inverses of normal operators ⋮ Computable error bounds for variational functionals of solutions of a convolution integral equations of the first kind

Cites Work

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• Spectral theory of operators in Hilbert space
• Upper and Lower Bounds of Bilinear Functionals in Non-linear Problems
• Complementary bounds for inner products associated with non-linear equations
• Complementary bivariational principles for linear problems involving non-self-adjoint operators
• Bivariational bounds
• Some complementary bivariational principles for linear integral equations of Fredholm type
• New variational bounds on generalized polarizabilities
• Bivariational Bounds for Non-linear Problems
• Pointwise Bivariational Bounds on Solutions of Fredholm Integral Equations

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