Linear Functional Analysis

• Κύριοι συγγραφείς: Rynne, Bryan P. (Συγγραφέας), Youngson, Martin A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2008.
• Σειρά: Springer Undergraduate Mathematics Series,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Operator theory.; Physics.; Functional Analysis.; Operator Theory.; Analysis.; Mathematical Methods in Physics.

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standa...

Πίνακας περιεχομένων:

• Preliminaries
• Normed Spaces
• Inner Product Spaces, Hilbert Spaces
• Linear Operators
• Duality and the Hahn—Banach Theorem
• Linear Operators on Hilbert Spaces
• Compact Operators
• Integral and Differential Equations
• Solutions to Exercises.