A Banach space with a countable infinite number of complex structures
DOI: 10.1016/J.JFA.2014.06.015
关键词: Approximation property 、 Banach manifold 、 Eberlein–Šmulian theorem 、 Interpolation space 、 Discrete mathematics 、 C0-semigroup 、 Examples of vector spaces 、 Lp space 、 Mathematics 、 Banach space
摘要: Abstract We give examples of real Banach spaces with exactly infinite countably many complex structures and ω 1 structures.
core.ac.uk
harvard.edu
128.84.21.199
arxiv.org
fapesp.br
elsevier.com参考文章(18)
Razvan Anisca, An irregularity in the class of weak Hilbert spaces Illinois Journal of Mathematics. ,vol. 51, pp. 379- 395 ,(2007) , 10.1215/IJM/1258138419
Razvan Anisca, Subspaces of _{} with more than one complex structure Proceedings of the American Mathematical Society. ,vol. 131, pp. 2819- 2829 ,(2003) , 10.1090/S0002-9939-03-06858-8
Piotr Koszmider, Miguel Martín, Javier Merí, Extremely non-complex C(K) spaces Journal of Mathematical Analysis and Applications. ,vol. 350, pp. 601- 615 ,(2009) , 10.1016/J.JMAA.2008.04.021
Valentin Ferenczi, Uniqueness of complex structure and real hereditarily indecomposable Banach spaces Advances in Mathematics. ,vol. 213, pp. 462- 488 ,(2007) , 10.1016/J.AIM.2007.01.003
W. T. Gowers, B. Maurey, Banach spaces with small spaces of operators Mathematische Annalen. ,vol. 307, pp. 543- 568 ,(1997) , 10.1007/S002080050050
J. Bourgain, Real isomorphic complex Banach spaces need not be complex isomorphic Proceedings of the American Mathematical Society. ,vol. 96, pp. 221- 226 ,(1986) , 10.1090/S0002-9939-1986-0818448-2
Jean Dieudonné, None, Complex structures on real Banach spaces Proceedings of the American Mathematical Society. ,vol. 3, pp. 162- 164 ,(1952) , 10.1090/S0002-9939-1952-0047252-8
Valentin Ferenczi, Elói Medina Galego, Countable groups of isometries on Banach spaces Transactions of the American Mathematical Society. ,vol. 362, pp. 4385- 4431 ,(2010) , 10.1090/S0002-9947-10-05034-8
Valentin Ferenczi, Elói Medina Galego, Even infinite-dimensional real Banach spaces Journal of Functional Analysis. ,vol. 253, pp. 534- 549 ,(2007) , 10.1016/J.JFA.2007.08.006
N. J. Kalton, AN ELEMENTARY EXAMPLE OF A BANACH SPACE NOT ISOMORPHIC TO ITS COMPLEX CONJUGATE Canadian Mathematical Bulletin. ,vol. 38, pp. 218- 222 ,(1995) , 10.4153/CMB-1995-031-4