FUNCTORS IN CATEGORIES OF BANACH SPACES

CONTENTS Introduction § 1. Categories and functors, examples § 2. Mappings of functors § 3. Duality of functors § 4. Spectral families of functors. The limit theorem § 5. Description of the dual functor § 6. Functors defined by sequence spaces § 7. Functors in the category of Hilbert spaces § 8. Functors of vector-valued functions § 9. Rings of operators in functors § 10. Hilbert functors § 11. Some problems Bibliography