Banach space techniques underpinning a theory for nearly additive mappings
DOI10.4064/dm404-0-1zbMath1035.39018OpenAlexW1965356920MaRDI QIDQ4791462
Félix Cabello Sánchez, Jesús M. Fernandez Castillo
Publication date: 28 January 2003
Published in: Dissertationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/dm404-0-1
exact sequencesduality theorytwisted sumsuniform boundedness principlesUlam's stabilityhomology sequencesnearly additive mappingsasymptotically additive mappingscontrolled groupsextension of Banach spaces
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Stability, separation, extension, and related topics for functional equations (39B82) Ultraproducts in functional analysis (46M07) Projective and injective objects in functional analysis (46M10) Functional inequalities, including subadditivity, convexity, etc. (39B62) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Categories, functors in functional analysis (46M15)
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