I am studying geometry of Banach spaces and applications in metric fixed point theory. Does anyone have a good recommendation of books//lectures/resources/etc.? Thanks.
2026-03-29 14:07:05.1774793225
Book suggestion geometry of Banach spaces
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These are the books I recommend:
A short course on Banach space theory. N. L. Carothers. A friendly introduction into geometry of Banach spaces
An Introduction to Banach Space Theory Graduate Texts in Mathematics. Robert E. Megginson. A more academic, but still very basic exposition.
Topics in Banach space theory. F. Albiac, N. Kalton. Though this is still a textbook, it contains a lot. Mostly for future Banach space specialists.
The isometric theory of classical Banach spaces. H. E. Lacey. If you are interesed geometric effects concerned with exact value of the norm.
Banach space theory. The basis for linear and non-linear analysis. M. Fabian, P. Habala, P. Hajek, V. Montesinos, V. Zizler. It is more an encyclopedia than a textbook. Contains much more than you ever want to know.