Topological Vector Spaces
by H.H. Schaefer, M.P. Wolff · Springer
Standard graduate text (Springer GTM 3) on topological vector spaces: locally convex spaces, duality theory, the Hahn-Banach and closed graph theorems, tensor products, nuclear spaces, and order structures. Prepares readers for research-level functional analysis.
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Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
nLab: Topological Vector Space
Wiki entry from the nLab on topological vector spaces, giving definitions, key variants such as locally convex spaces, and the category-theoretic view of these structures, with references. Useful for situating TVS theory within broader mathematics.