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SCALES OF BANACH SPACES

Name: SCALES OF BANACH SPACES
Keywords: Functional analysis, functional analysis

Scales of Banach spaces

descriptionPublicationkeyboard_double_arrow_right Article 30 Apr 1966Publisher:Steklov Mathematical InstituteJournal:Russian Mathematical Surveys, volume 21, pages 85-159 (issn: 0036-0279, eissn: 1468-4829,

Authors: S G Krein; Yu. I. Petunin;

doi: 10.1070/rm1966v021n02abeh004151

SCALES OF BANACH SPACES

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Abstract

CONTENTSIntroduction § 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 Holder scale § 6. The Marcinkiewicz scale § 7. Analytic scales § 8. Spaces of means § 9. Hilbert scalesAddendum: Yu. I. Petunin. A non-linear problem in the theory of scales of Banach spacesReferences

Keywords

Functional analysis, functional analysis

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	166
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 0.1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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