Are you ready to dive into linear analysis with Volker Runde?

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The discussion centers on Volker Runde's notes on Linear Analysis, which provide a comprehensive overview of the subject, beginning with normed and Banach spaces and advancing to spectral theory. Recommended literature for further study includes key texts such as J. B. Conway's "A Course in Functional Analysis," B. Bollobás's "Linear Analysis," and W. Rudin's "Functional Analysis," among others. The conversation highlights the importance of these foundational concepts in understanding functional analysis, while also acknowledging the overwhelming variety of resources available for learners. A link to additional insights on Hilbert spaces is also provided for those seeking a deeper exploration of the topic.
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Notes on Linear Analysis from Volker Runde, Department of Mathematical and Statistical Sciences, University of Alberta

http://www.math.uAlberta.ca/~runde/files/math516-notes.pdf

1. J. B. Conway, A Course in Functional Analysis. Springer Verlag, 1985.

Other recommended books are:
2. B. Bollobás, Linear Analysis. An Introductory Course, Second Edition. Cambridge University Press, 1999.
3. N. Dunford and J. T. Schwartz, Linear Operators, I. Wiley-Interscience,
4. G. K. Pedersen, Analysis Now. Springer Verlag, 1989.
5. W. Rudin, Functional Analysis, Second Edition. McGraw-Hill, 1991.

Linear analysis: an introductory course
 
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So this is about Functional Analysis?
 
WWGD said:
So this is about Functional Analysis?
Have a look on the pdf, it starts with normed and Banach spaces and pretty soon deals with spectral theory.
 
fresh_42 said:
Have a look on the pdf, it starts with normed and Banach spaces and pretty soon deals with spectral theory.
Thanks, there are so many weird things out there. Variety is overwhelming, so might as well check.
 
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