You could also look at MR1471480 (98i:58015) Kriegl, Andreas; Michor, Peter W. The convenient setting of global analysis. (English summary) Mathematical Surveys and Monographs, 53. American Mathematical Society, Providence, RI, 1997. x+618 pp. ISBN: 0-8218-0780-3 for which an e-version has been downloadable. However as the review says: "the exposition is based on functional analysis rather than on category theory; this fact will, undoubtedly, allow the subject to reach a wider audience. " Ronnie ----- Original Message ----- From: "Robert L Knighten" <RLK@knighten.org> To: "Categories list" <categories@mta.ca> Sent: Thursday, March 06, 2008 2:37 AM Subject: categories: How to motivate a student of functional analysis
Most of the material connecting analysis and category theory seems to be written by specialists in category theory who have observed some of the ways that insights from category theory can be brought to bear (for example look on Math Sci Net at the many papers (co)authored by Joan Wick Pelletier.) But here's an example which is a book on functional analysis that has a strong use of categories:
@book {MR0296671, AUTHOR = {Semadeni, Zbigniew}, TITLE = {Banach spaces of continuous functions. {V}ol. {I}}, NOTE = {Monografie Matematyczne, Tom 55}, PUBLISHER = {PWN---Polish Scientific Publishers}, ADDRESS = {Warsaw}, YEAR = {1971}, PAGES = {584 pp. (errata insert)}, MRCLASS = {46E15 (46M99)}, MRNUMBER = {MR0296671 (45 \#5730)}, MRREVIEWER = {H. E. Lacey}, }
-- Bob
-- Robert L. Knighten RLK@knighten.org
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