First Course in Functional Analysis

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A01=Orr Moshe Shalit
advanced calculus concepts
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Author_Orr Moshe Shalit
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Banach Space
Banach spaces
Bounded functionals and Bounded operators
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Closed Subspace
Compact Operator
Compact Self-adjoint Operator
Complete Orthonormal System
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Finite Dimensional Normed Space
Finite Dimensional Spaces
Finite Rank Operator
Fourier Series
functional analysis
functional analysis for beginners
Hahn Banach Extension Theorem
Hahn Banach Theorem
Hamel Basis
Hilbert Function Space
Hilbert Space
Hilbert space methods
Hilbert spaces
Infinite Dimensional Banach Space
Infinite Dimensional Vector Space
Isometrically Isomorphic
Language_English
linear operator analysis
mathematical proofs
Metric Space
metric spaces
Multiplier Algebra
Nice Functions
Normed Spaces
normed vector spaces
operator theory
Orthonormal Basis
Orthonormal System
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Piecewise Continuous Map
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Riemann Integration
Riesz theorem
softlaunch
spectral theory
Stone Weierstrass Theorem
undergraduate mathematics

Product details

  • ISBN 9780367658137
  • Weight: 640g
  • Dimensions: 156 x 234mm
  • Publication Date: 30 Sep 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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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.

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.

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