Introduction To Operator Theory In Riesz Spaces

Introduction To Operator Theory In Riesz Spaces

Author: Adriaan C. Zaanen

Format: Hardcover

Pages: 312

ISBN: 9783540619895

Language: English

Publisher: Springer

Release Date: December 16, 1996

Description du Livre

Since the beginning of the thirties a considerable number of books on func tional analysis has been published. Among the first ones were those by M. H. Stone on Hilbert spaces and by S. Banach on linear operators, both from 1932. The amount of material in the field of functional analysis (in cluding operator theory) has grown to such an extent that it has become impossible now to include all of it in one book. This holds even more for text books. Therefore, authors of textbooks usually restrict themselves to normed spaces (or even to Hilbert space exclusively) and linear operators in these spaces. In more advanced texts Banach algebras and (or) topological vector spaces are sometimes included. It is only rarely, however, that the notion of order (partial order) is explicitly mentioned (even in more advanced exposi tions), although order structures occur in a natural manner in many examples (spaces of real continuous functions or spaces of measurable function ). This situation is somewhat surprising since there exist important and illuminating results for partially ordered vector spaces, in . particular for the case that the space is lattice ordered. Lattice ordered vector spaces are called vector lattices or Riesz spaces. The first results go back to F. Riesz (1929 and 1936), L. Kan torovitch (1935) and H. Freudenthal (1936)."

Commentaires
Blanchefle Morneau
Enfin, je reçois cet ebook, merci pour tous ces miracles de Noël que je peux obtenir maintenant!
Émilie Aucoin
Mes amis sont tellement fous qu’ils ne savent pas comment j’ai tous les ebook de haute qualité qu’ils n’ont pas!
Alphonse Ratté
Je tiens à vous remercier personnellement pour vos livres exceptionnels. C’est vraiment merveilleux.
Andrée Bédard
Je vous recommanderai à mes collègues. Leur miracle de Noël est les livres les plus précieux que nous ayons jamais achetés. Je serais perdu sans ça. Je suis complète ment époustouflé.
Gradasso Martel
Leur Miracle de Noel était le meilleur livre que j’ai jamais acheter. Leur Miracle de Noel a fait exactement ce que tu as dit qu’il faisait.