Bøger i Grundlehren der mathematischen Wissenschaften serien

This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author.

It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces.

In Chapter 6, the results of Chapter'> 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory).