APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES

Abstract

CONTENTSIntroduction § 1. The concept of nuclearity and the simplest facts connected with it § 2. Approximative dimension: the estimation of the e-entropy and n-dimensional diameter of elementary compacta § 3. Criterion for the nuclearity of a linear topological space in terms of the approximative dimension § 4. Theorem on the absoluteness of the basis in a nuclear space § 5. Riesz scales § 6. Theorem on the equivalence of bases in Riesz scales § 7. The space § 8. Some unsolved problemsReferences