Collections of examples and counterexamples in (real, complex, functional) analysis, ODEs and PDEs

In the book

Khaleelulla S. Counterexamples in Topological Vector Spaces, LNM 936, Springer, 1982

various counterexamples in Topological Vector Spaces, Locally Convex Spaces, Ordered Topological Vector Spaces, and Topological Algebras are given.