Functional Analysis: An Introduction
Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
Functional Analysis: An Introduction - A book resource
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More resources on Banach Spaces
Terry Tao's Blog on Banach Spaces
Notes on littlewood-paley theory and Banach spaces
nLab: Banach Space
Comprehensive category-theoretic overview
mathworld.wolfram.com
Wolfram MathWorld is a comprehensive online mathematics encyclopedia offering concise, well-cited articles with definitions, theorems, formulas, and diagrams across topics. It includes Banach spaces under functional analysis, providing explanations, related terms, and references for further study.
Functional Analysis
Functional Analysis - A book resource
ocw.mit.edu
MIT OpenCourseWare is a free, open-access repository of MIT course materials across disciplines. It offers lecture notes, assignments, exams, and sometimes video lectures for courses in mathematics and analysis, helping learners study topics like Banach spaces.
nptel.ac.in
NPTEL is a large open online learning platform that hosts free video lectures, notes, and assignments from IITs and IISc across science and engineering. It includes mathematics courses—such as functional analysis and Banach spaces—with downloadable materials and optional certificates.