Abstract
Assuming a basic knowledge of linear algebra we now infuse extra topological concepts and arrive at the theory of topological vector spaces. Keeping to the essentials we only develop the theory of locally convex spaces, and we make these appear as seminormed spaces (with initial topology).
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© 1989 Springer Science+Business Media New York
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Pedersen, G.K. (1989). Banach Spaces. In: Analysis Now. Graduate Texts in Mathematics, vol 118. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1007-8_2
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DOI: https://doi.org/10.1007/978-1-4612-1007-8_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6981-6
Online ISBN: 978-1-4612-1007-8
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