Functional analysis and applied mathematics 1952, by l v kantorovich. Kantorovich s majorization and functional equations article in numerical functional analysis and optimization nos. The theory of topological vector spaces is emphasized, along with the applications of functional analysis to applied analysis. Akilov and a great selection of related books, art and collectibles available now at. Download citation on researchgate on dec 1, 1966, j. This monograph is intended for students specializing in mathematical analysis and computational mathematics. Functional analysis in normed spaces by kantorovich, l. Zlibrary is one of the largest online libraries in the world that contains over 4,960,000 books and 77,100,000 articles. Inspire a love of reading with prime book box for kids discover delightful childrens books with prime book box, a subscription that delivers new books every 1, 2, or 3 months new customers receive 15% off your first box. In 1938, he provided advice to plywood plants on how to use their machines in the most effective way to minimize the waste of plywood. A very interesting person in economic theory and, to some extent, in financial mathematics, is russian mathematician leonid kantorovich, a specialist in functional analysis. The last section focuses on functional equations, including the adjoint equation and functional equations of the second kind.
An improved convergence analysis for the newton kantorovich method using recurrence relations article in international journal of computer mathematics 873. Plus, free twoday shipping for six months when you sign up for amazon prime for students. Get your kindle here, or download a free kindle reading app. Newtons method can be found in kantorovich and akilov, 1964.
Radonnikodym property in banach spaces of measurable vector. P download it once and read it on your kindle device, pc, phones or tablets. Although this edition has deviated substantially from the first edition, it has still retained the overall plan, selection, and arrangement of the topics. This paper was written while the author was visiting the mathematics research center, university of wisconsinmadison, u. Everyday low prices and free delivery on eligible orders. It takes up the theory of the solution of a wide class of functional equations. Functional analysis in normed spaces 1964, by l v kantorovich and g p akilov. Akilov, functional analysis in russian, nauka, moscow 1977. Other readers will always be interested in your opinion of the books youve read.
A method for finding sharp error bounds for newtons. Functional analysis examines trends in functional analysis as a mathematical discipline and the everincreasing role played by its techniques in applications. Use features like bookmarks, note taking and highlighting while reading functional analysis. Buy functional analysis 2nd revised edition by kantorovich, l. Add your email address to receive free newsletters from scirp. We present and solve a special problem in nonlinear integer programming with an indefinite number of unknowns, which arises from the optimization of block newton kantorovich iteration processes. Akilov functional analysis in normed spaces, translated from the russian by d.
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