Including bibliographies.

Positive-definite functionals on nuclear spaces /; Nuclearity and other properties of spaces of type ^* /; On regular bases in nuclear spaces /; Bessel and Hilbert systems in Banach spaces and questions of stability /; Introduction to the geometry of indefinite spaces and to the theory of operators in those spaces /; On some new Banach algebras and Wiener-Levy type theorems for Fourier series and integrals /; Exponential law for spaces of continuous linear mappings /; On an eigenfunction expansion for selfadjoint operators /; Theorems on positive solutions of equations of the second kind with nonlinear operators / A. G. Kostjucenko and B. S. Mitjagin; B. S. Mitjagin; M. M. Dragilev; B. E. Veic; M. G. Krein; M. G. Krein; D. A. Raikov; Ju. M. Berezanskii; V. Ja. Stecenko and A. R. Esajan