Download or read book On Banach Ideals Determined by Nanach Lattices and Their Applications written by N. J. Nielsen and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Banach Ideals Determined by Banach Lattices and Their Applications written by N. J. Nielsen and published by . This book was released on 1973 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Banach Ideals Determined by Banach Lattices written by A. Oberschelp and published by . This book was released on 1973 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Banach Lattices and Positive Operators written by H.H. Schaefer and published by Springer. This book was released on 1974-12-16 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector lattices-also called Riesz spaces, K-lineals, or linear lattices-were first considered by F. Riesz, L. Kantorovic, and H. Freudenthal in the middle nineteen thirties; thus their early theory dates back almost as far as the beginning of the systematic investigation of Banach spaces. Schools of research on vector lattices were subsequently founded in the Soviet Union (Kantorovic, Judin, Pinsker, Vulikh) and in Japan (Nakano, Ogasawara, Yosida); other important contri­ butions came from the United States (G. Birkhoff, Kakutani, M. H. Stone). L. Kantorovic and his school first recognized the importance of studying vector lattices in connection with Banach's theory of normed vector spaces; they investigated normed vector lattices as well as order-related linear operators between such vector lattices. (Cf. Kantorovic-Vulikh-Pinsker [1950] and Vulikh [1967].) However, in the years following that early period, functional analysis and vector lattice theory began drifting more and more apart; it is my impression that "linear order theory" could not quite keep pace with the rapid development of general functional analysis and thus developed into a theory largely existing for its own sake, even though it had interesting and beautiful applications here and there.

Download or read book Preprint series written by and published by . This book was released on 2003 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: