Name: banach lattices and positive operators (en Inglés)
SKU: 24699577
Price: 362.06 PEN
Availability: InStock
Author: Schaefer, H. H.
ISBN: 9783642659720

portada banach lattices and positive operators (en Inglés)

banach lattices and positive operators (en Inglés)

Formato

Libro Físico

Autor

H. H. Schaefer

Editorial

Springer

Año

2011

Idioma

Inglés

N° páginas

378

Encuadernación

Tapa Blanda

Dimensiones

24.4x17x2.1 cm

Peso

0.63 kg.

ISBN

3642659721

ISBN13

9783642659720

Categorías

Análisis funcional y transformaciones

banach lattices and positive operators (en Inglés)

H. H. Schaefer (Autor) · Springer · Tapa Blanda

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Reseña del libro "banach lattices and positive operators (en Inglés)"

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.