Abstract
Use nets. In the discussion of (w → s) continuity recall that a basic weak neighborhood depends on a finite set of vectors, and consider the orthogonal complement of their span.
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© 1982 Springer-Verlag New York Inc.
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Halmos, P.R. (1982). Properties of Compactness. In: A Hilbert Space Problem Book. Graduate Texts in Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9330-6_44
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DOI: https://doi.org/10.1007/978-1-4684-9330-6_44
Publisher Name: Springer, New York, NY
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