Totally Incomparable Banach Spaces and Three‐Space Banach Space Ideals
Copyright policy )Totally Incomparable Banach Spaces and Three‐Space Banach Space Ideals
AbstractIn this paper we present four methods to generate three‐space BANACH space ideals. They are based on the concept of total incomparability of H. P. ROSENTHAL and on a dual concept, total coincomparability, which is here introduced. We use the assertion that the sum of two totally incomparable closed subspaces of a BANACH space is norm‐closed, which is shown by means of an easier and more natural proof than that of ROSENTHAL [10], and an analogous property about the total coincomparability. Several well‐known ideals are obtained with the above methods, and so they are three‐space ideals.
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Geometry and structure of normed linear spaces, totally incomparable subspaces, Algebras of operators on Banach spaces and other topological linear spaces, totally coincomparability
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Geometry and structure of normed linear spaces, totally incomparable subspaces, Algebras of operators on Banach spaces and other topological linear spaces, totally coincomparability
selected citations These citations are derived from selected sources.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).2 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.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!