The Bishop–Phelps–Bollobás theorem for operators on L 1 ( μ )
Tài liệu tham khảo
Acosta, 2006, Denseness of norm attaining mappings, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM, 100, 9
Acosta, 1996, There is no bilinear Bishop–Phelps theorem, Israel J. Math., 93, 221, 10.1007/BF02761104
Acosta, 2006, A multilinear Lindenstrauss theorem, J. Funct. Anal., 235, 122, 10.1016/j.jfa.2005.10.002
Acosta, 2008, The Bishop–Phelps–Bollobás theorem for operators, J. Funct. Anal., 254, 2780, 10.1016/j.jfa.2008.02.014
Acosta, 2014, The Bishop–Phelps–Bollobás property for operators between spaces of continuous functions, Nonlinear Anal., 95, 323, 10.1016/j.na.2013.09.011
Acosta, 2014, Bishop–Phelps–Bollobás property for certain spaces of operators, J. Math. Anal. Appl., 414, 532, 10.1016/j.jmaa.2013.12.056
Acosta, 2014, The Bishop–Phelps–Bollobás theorem for bilinear forms, Trans. Amer. Math. Soc., 365, 5911, 10.1090/S0002-9947-2013-05881-3
Aron, 1995, Some remarks on norm attaining N-linear forms, vol. 172, 19
Aron, 2011, The Bishop–Phelps–Bollobás theorem and Asplund operators, Proc. Amer. Math. Soc., 139, 3553, 10.1090/S0002-9939-2011-10755-X
Aron, 2011, The Bishop–Phelps–Bollobás theorem for L(L1(μ),L∞[0,1]), Adv. Math., 228, 617, 10.1016/j.aim.2011.05.023
R.M. Aron, Y.S. Choi, S.K. Kim, H.J. Lee, M. Martín, The Bishop–Phelps–Bollobás version of Lindenstrauss properties A and B, preprint, 2013.
Bishop, 1961, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc., 67, 97, 10.1090/S0002-9904-1961-10514-4
Bollobás, 1970, An extension to the theorem of Bishop and Phelps, Bull. Lond. Math. Soc., 2, 181, 10.1112/blms/2.2.181
Bourgain, 1977, On dentability and the Bishop–Phelps property, Israel J. Math., 28, 265, 10.1007/BF02760634
Cascales, 2013, A Bishop–Phelps–Bollobás type theorem for uniform algebras, Adv. Math., 240, 370, 10.1016/j.aim.2013.03.005
Choi, 1997, Norm attaining bilinear forms on L1[0,1], J. Math. Anal. Appl., 211, 295, 10.1006/jmaa.1997.5461
Choi, 1996, Norm or numerical radius attaining multilinear mappings and polynomials, J. Lond. Math. Soc., 54, 135, 10.1112/jlms/54.1.135
Choi, 2011, The Bishop–Phelps–Bollobás theorem for operators from L1(μ) to Banach spaces with the Radon–Nikodým property, J. Funct. Anal., 261, 1446, 10.1016/j.jfa.2011.05.007
Choi, 2012, The Bishop–Phelps–Bollobás property and lush spaces, J. Math. Anal. Appl., 390, 549, 10.1016/j.jmaa.2012.01.053
Defant, 1993, Tensor Norms and Operator Ideals, vol. 176
Diestel, 1977, Vector Measures, vol. 15
Doob, 1993, Measure Theory, vol. 143
Dunford, 1958
Finet, 1998, Norm attaining operators from L1 into L∞, Israel J. Math., 108, 139, 10.1007/BF02783045
Iwanik, 1979, Norm attaining operators on Lebesgue spaces, Pacific J. Math., 83, 381, 10.2140/pjm.1979.83.381
Iwanik, 1982, On norm-attaining operators acting from L1(μ) to C(S), Rend. Circ. Mat. Palermo, 2, 147
Johnson, 1979, Norm attaining operators, Studia Math., 65, 7, 10.4064/sm-65-1-7-19
Kim, 2013, The Bishop–Phelps–Bollobás theorem for operators from c0 to uniformly convex spaces, Israel J. Math., 197, 425, 10.1007/s11856-012-0186-x
Kim, 2009, Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices, J. Funct. Anal., 257, 931, 10.1016/j.jfa.2008.11.024
Kim, 2014, Uniform convexity and Bishop–Phelps–Bollobás property, Canad. J. Math., 66, 373, 10.4153/CJM-2013-009-2
Kuratowski, 1966
Lacey, 1974
Lindenstrauss, 1963, On operators which attain their norm, Israel J. Math., 1, 139, 10.1007/BF02759700
Partington, 1982, Norm attaining operators, Israel J. Math., 43, 273, 10.1007/BF02761947
Payá, 2000, Norm attaining operators from L1(μ) into L∞(ν), Arch. Math., 75, 380, 10.1007/s000130050519
Rudin, 1987
Schachermayer, 1983, Norm attaining operators and renorming of Banach spaces, Israel J. Math., 44, 201, 10.1007/BF02760971
Schachermayer, 1983, Norm attaining operators on some classical Banach spaces, Pacific J. Math., 105, 427, 10.2140/pjm.1983.105.427
Schaefer, 1974