Compositions of Projections in Banach Spaces and Relations Between Approximation Properties
M.I. Ostrovskii
Source: Rocky Mountain J. Math. Volume 38, Number 4
(2008), 1253-1262.
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Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1214947609
Digital Object Identifier: doi:10.1216/RMJ-2008-38-4-1253
Mathematical Reviews number (MathSciNet): MR2436721
Zentralblatt MATH identifier: 05541264
References
P.G. Casazza, Approximation properties, in Handbook of the geometry of Banach spaces, Volume 1, W.B. Johnson and J. Lindenstrauss, eds., North-Holland Publishing Co., Amsterdam, 2001, pages 273-316.
Mathematical Reviews (MathSciNet): MR1863695
Digital Object Identifier: doi:10.1016/S1874-5849(01)80009-7
Zentralblatt MATH: 1067.46025
P.G. Casazza and N.J. Kalton, Notes on approximation properties in separable Banach spaces, in Geometry of Banach spaces, P. Müller and W. Schachermayer, eds., Cambridge University Press, Cambridge, 1990, pages 49-63.
Mathematical Reviews (MathSciNet): MR1110185
Zentralblatt MATH: 0743.41027
W.B. Johnson, Finite-dimensional Schauder decompositions in $\pi_\lambda$ and dual $\pi_\lambda$ spaces, Illinois J. Math. 14 (1970), 642-647.
Mathematical Reviews (MathSciNet): MR265917
Zentralblatt MATH: 0198.46901
Project Euclid: euclid.ijm/1256052956
W.B. Johnson, H.P. Rosenthal and M. Zippin, On bases, finite dimensional decompositions and weaker structures in Banach spaces, Israel J. Math. 9 (1971), 488-506.
Mathematical Reviews (MathSciNet): MR280983
Zentralblatt MATH: 0217.16103
Digital Object Identifier: doi:10.1007/BF02771464
J. Lindenstrauss and L. Tzafriri, Classical Banach spaces, volume I, Springer-Verlag, Berlin, 1977.
Mathematical Reviews (MathSciNet): MR415253
M.I. Ostrovskii, Topologies on the set of all subspaces of a Banach space and related questions of Banach space geometry, Quaestiones Math. 17 (1994), 259-319.
Mathematical Reviews (MathSciNet): MR1290670
M.I. Ostrovskii, Generalization of projection constants: Sufficient enlargements, Extracta Math. 11 (1996), 466-474.
Mathematical Reviews (MathSciNet): MR1456544
--------, Projections in normed linear spaces and sufficient enlargements, Archiv der Mathematik 71 (1998), 315-324.
Mathematical Reviews (MathSciNet): MR1640094
Zentralblatt MATH: 0937.46007
Digital Object Identifier: doi:10.1007/s000130050270
--------, Sufficient enlargements of minimal volume for two-dimensional normed spaces, Math. Proc. Cambridge Phil. Soc. 137 (2004), 377-396.
Mathematical Reviews (MathSciNet): MR2092066
Zentralblatt MATH: 1066.46012
Digital Object Identifier: doi:10.1017/S0305004104007819
Rocky Mountain Journal of Mathematics