Banach Couples. I. Elementary Theory
Jaak Peetre, Per Nilsson
TL;DR
This paper presents foundational elementary theory of Banach couples, providing essential concepts and results that underpin the broader study of interpolation spaces in functional analysis.
Contribution
It offers a precise, original presentation of elementary properties of Banach couples, serving as a fundamental reference for subsequent research in interpolation theory.
Findings
Establishes basic properties of Banach couples
Provides foundational results for interpolation spaces
Serves as a key reference in functional analysis
Abstract
This note is an (exact) copy of the report of Jaak Peetre, "Banach Couples. I. Elementary Theory". Published as Technical Report, Lund (1971). Some more recent general references have been added and some references updated though
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Taxonomy
TopicsAdvanced Banach Space Theory