Fredholm Theory in Banach Spaces (Cambridge Tracts in Mathematics, Series Number 86)

Ruston, Anthony Francis

ISBN 10: 0521604931 / ISBN 13: 9780521604932

Edité par Cambridge University Press, 2004

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N° de réf. du vendeur ABLIING23Feb2416190009152

Détails bibliographiques

• Titre: Fredholm Theory in Banach Spaces (Cambridge Tracts in Mathematics, Series Number 86)
• Éditeur: Cambridge University Press
• Date de parution: 2004
• Langue: anglais
• ISBN à 10 chiffres: 0521604931
• ISBN à 13 chiffres: 9780521604932
• Reliure: Couverture souple
• État de l'article: New

A propos de ce titre

Synopsis

Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.

Présentation de l'éditeur

In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm's original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications.