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LCVS V: Linear Continuous Maps and Topological Duals (expanded 10/14/07; now includes Krein-Milman, Milman, and Alaoglu-Bourbaki Theorems; modified 10/15/07: streamlined sub-section C; modified 10/31/07 with new numbering - this is the old LCVS IV) Duality Theory (created 10/31/07, by splitting the old LCVS V) Throughout, the authors highlight the fact that calculus provides a 1.We start with Xreexive. SupposeY isaclosedpropersubspaceof X, 1 Elementary properties; 2 Hartogs' phenomenon: an example; . To whom it may concern. Much of the material and inspiration came from Larry Brown's lectures on functional analysis at Purdue University in the 1990s, and some came from my Reed thesis 1987. In book: Functional Analysis and Spectral Theory for Non-Selfadjoint Compact 0perators with Applications to Gribov-Intissar's Operators and other concrete operators Project: Teaching Graduate . 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