Heinrich, Stefan Ultraproducts in Banach space theory. (English) Zbl 0412.46017 J. Reine Angew. Math. 313, 72-104 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 172 Documents MSC: 46B99 Normed linear spaces and Banach spaces; Banach lattices 46B42 Banach lattices 46H05 General theory of topological algebras 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46E15 Banach spaces of continuous, differentiable or analytic functions 46B10 Duality and reflexivity in normed linear and Banach spaces 46M10 Projective and injective objects in functional analysis 47B99 Special classes of linear operators 26E35 Nonstandard analysis Keywords:ultraproducts; model theory; nonstandard analysis; local theory of Banach spaces Citations:Zbl 0402.46014 PDFBibTeX XMLCite \textit{S. Heinrich}, J. Reine Angew. Math. 313, 72--104 (1980; Zbl 0412.46017) Full Text: DOI EuDML