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Functional Analysis was the first course in mathematics where I truly struggled everyday. Although I was fairly comfortable with banach spaces after taking measure theory, I had a brutally difficult time digesting weak topologies and an even harder one understanding hilbert spaces. I would really recommend that undergrads take an introduction course to functional analysis before trying this text.

Author(s): Gert K. Pedersen
Series: Graduate Texts in Mathematics
Edition: Corrected
Publisher: Springer
Year: 1988

Language: English
Pages: 291