The classical Krein-Rutman theorem states that any positive compact linear endomorphism $T:X \to X$ on a Banach space $X$ with positive spectral radius $r(T)$ has an eigenvalue $r(T)$ with a positive eigenvector. Papers and textbooks seem to write off the theorem as "standard" and "well-known", but I have not been able to locate any exposition with a proof of the theorem.


Is there a reference (preferably a textbook) including the statement *and* the proof of the theorem? (The original paper of Krein and Rutman appears to be in Russian, which I cannot read.)



The classical Krein-Rutman theorem
["Topological Vector Spaces"](http://books.google.com/books?id=9kXY742pABoC&printsec=frontcover&dq=topological+vector+spaces&cd=1#v=onepage&q&f=false) by Helmut Schaefer contains a thorough treatment of the classical Krein-Rutman theorem for compact positive operators in an ordered Banach space along with several generalizations to the case of a locally convex space with a cone. See Section 2 of the Appendix, *Pringsheim's Theorem and Its Consequences*. 
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