A First Course in Functional Analysis
1st Edition
Published on 16. March 2017
256 pages
978-1-4987-7162-7 (ISBN)
Description
Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.
Reviews / Votes
A First Course in Functional Analysis by Orr Moshe Shalit is an excellent introduction to linear analysis. Its straightforward approach to the key ideas of the field, with special emphasis on Hilbert spaces, will be very much appreciated both by students and instructors. The book is suitable for advanced undergraduates and beginning graduate students who have had prior exposure to advanced calculus and linear algebra. I highly recommend this book to anyone teaching a first course in abstract analysis.-Jens Harlander, Boise State University A First Course in Functional Analysis by Orr Moshe Shalit is an excellent introduction to linear analysis. Its straightforward approach to the key ideas of the field, with special emphasis on Hilbert spaces, will be very much appreciated both by students and instructors. The book is suitable for advanced undergraduates and beginning graduate students who have had prior exposure to advanced calculus and linear algebra. I highly recommend this book to anyone teaching a first course in abstract analysis.
-Jens Harlander, Boise State University
More details
Language
English
Place of publication
Philadelphia, PA
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
File size
2,46 MB
ISBN-13
978-1-4987-7162-7 (9781498771627)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Orr Moshe Shalit
A First Course in Functional Analysis
Book
09/2020
1st Edition
Chapman & Hall/CRC
€76.60
Shipment within 15-20 days
Orr Moshe Shalit
A First Course in Functional Analysis
Book
03/2017
1st Edition
Chapman & Hall/CRC
€122.50
Shipment within 15-20 days
Person
Orr Moshe Shalit is an assistant professor of mathematics at the Technion - Israel Institute of Technology in Haifa, Israel. His research interests lie in the topic of operator theory and operator algebras. He is the author of over 20 research papers and is a regular reviewer for many prestigious journals.
Content
Introduction and the Stone-Weierstrass theorem. Hilbert spaces. Orthogonality, projections, and bases. Fourier series. Bounded linear operators on Hilbert space. Hilbert function spaces. Banach spaces. The algebra of bounded operators on a Banach space. Compact operators. Compact operators on Hilbert space. Applications of compact operators. The Fourier transform. *The Hahn-Banach Theorems. Metric and topological spaces.
