Her research interests include functional analysis, harmonic analysis, and complex analysis.
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Login Join Give Shops. Click on the cover image above to read some pages of this book! Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, 3E, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs.
Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory. Help Centre.
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Introduction to Hilbert Spaces with Applications by Lokenath Debnath
The product of projection operators. Szeged , 23, , pp. The product of operators with closed range and an extension of the reverse order law. Kayalar and H.
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Error bounds for the method of alternating projections, Math. Control Signal Systems , 1, , pp. A Theorem on Banach Spaces. Compositio Math. Krein, M.
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Krasnoselskii, and D. On the defect numbers of linear operators in a Banach space and on some geometric questions. Nauk Ukrain RSR.
Introduction to Hilbert Spaces with Applications
Some properties of idempotent operators. MathSciNet Google Scholar. On a calculus of operators in reflexive vector spaces. Functional Operators — Vol. The Geometry of Orthogonal Spaces This is a reprint of mimeographed lecture notes first distributed in Annals of Math. Studies 22, Princeton University Press, Unconditional convergence of abstract splines.
Theory , 30, , pp.