عنوان

Banach Lattices and Positive Operators

شابک

9783642659706

شابک

9783642659720

شماره

b407415

عنوان اصلي

Banach Lattices and Positive Operators

نام عام مواد

[Book]

نام نخستين پديدآور

by Helmut H. Schaefer.

محل نشرو پخش و غیره

Berlin, Heidelberg :

نام ناشر، پخش کننده و غيره

Springer Berlin Heidelberg,

تاریخ نشرو بخش و غیره

1974.

عنوان فروست

Die Grundlehren der mathematischen Wissenschaften,

مشخصه جلد

215

شاپا ي ISSN فروست

0072-7830 ;

متن يادداشت

I. Positive Matrices -- Notes -- Exercises -- II. Banach Lattices -- Notes -- Exercises -- III. Ideal and Operator Theory -- Notes -- Exercises -- IV. Lattices of Operators -- Notes -- Exercises -- V. Applications -- Notes -- Exercises -- Index of Symbols.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9783642659720

عنوان

Springer eBooks

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Schaefer, Helmut H.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301074500.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y