April 30, 1966

Scales of Banach Spaces

SKS. G. KreĭnRussian State Agrarian University - Moscow Timiryazev Agricultural Academy YPYu. I. PetuninTaras Shevchenko National University of Kyiv

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Abstract

CONTENTS Introduction § 1. Scales of Banach spaces § 2. Normal embeddings of spaces and of their duals § 3. Normal scale of spaces. Related spaces § 4. Interpolation properties. Minimal and maximal scales § 5. The Hölder scale § 6. The Marcinkiewicz scale § 7. Analytic scales § 8. Spaces of means § 9. Hilbert scales Addendum: Yu. I. Petunin. A non-linear problem in the theory of scales of Banach spaces References

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Kreĭn et al. (Sat,) studied this question.

synapsesocial.com/papers/6a2172b869691edd7bab905d https://doi.org/https://doi.org/10.1070/rm1966v021n02abeh004151

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