Unconditional basic sequences in spaces of large density
Copyright policy )Unconditional basic sequences in spaces of large density
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density $\aleph_ω$ contains an unconditional basic sequence.
Mathematics(all), strongly compact cardinal, Polarized Ramsey, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, separable quotient problem, forcing, FOS: Mathematics, 46B03, 03E35, Separable quotient problem, polarized Ramsey, Partition relations, Isomorphic theory (including renorming) of Banach spaces, Large cardinals, unconditional basic sequence, Unconditional basic sequence, Nonseparable Banach spaces, non-separable Banach spaces, Non-separable Banach spaces, Mathematics - Logic, Functional Analysis (math.FA), Mathematics - Functional Analysis, Strongly compact cardinal, Forcing, Consistency and independence results, Logic (math.LO)
Mathematics(all), strongly compact cardinal, Polarized Ramsey, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, separable quotient problem, forcing, FOS: Mathematics, 46B03, 03E35, Separable quotient problem, polarized Ramsey, Partition relations, Isomorphic theory (including renorming) of Banach spaces, Large cardinals, unconditional basic sequence, Unconditional basic sequence, Nonseparable Banach spaces, non-separable Banach spaces, Non-separable Banach spaces, Mathematics - Logic, Functional Analysis (math.FA), Mathematics - Functional Analysis, Strongly compact cardinal, Forcing, Consistency and independence results, Logic (math.LO)
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).6 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!