Complex symmetric composition operators on a Hilbert space of Dirichlet series

Journal of Mathematical Analysis and Applications - Tập 452 - Trang 1413-1419 - 2017
Xingxing Yao1
1School of Science, Wuhan Institute of Technology, Wuhan 430205, China

Tài liệu tham khảo

Bailleul, 2015, Composition operators on weighted Bergman spaces of Dirichlet series, J. Math. Anal. Appl., 426, 340, 10.1016/j.jmaa.2015.01.010 Bayart, 2002, Hardy spaces of Dirichlet series and their composition operators, Monatsh. Math., 136, 203, 10.1007/s00605-002-0470-7 Bayart, 2003, Compact composition operators on a Hilbert space of Dirichlet series, Illinois J. Math., 47, 725, 10.1215/ijm/1258138190 Cowen, 1995 Finet, 2004, Compactness of composition operators on a Hilbert space of Dirichlet series, J. Funct. Anal., 211, 271, 10.1016/j.jfa.2004.01.003 Garcia, 2014, Which weighted composition operators are complex symmetric?, Oper. Theory Adv. Appl., 236, 171 Garcia, 2005, Complex symmetric operators and applications, Trans. Amer. Math. Soc., 358, 1285, 10.1090/S0002-9947-05-03742-6 Garcia, 2007, Complex symmetric operators and applications II, Trans. Amer. Math. Soc., 359, 3913, 10.1090/S0002-9947-07-04213-4 Garcia, 2009, Complex symmetric partial isometries, J. Funct. Anal., 257, 1251, 10.1016/j.jfa.2009.04.005 Garcia, 2010, Some new classes of complex symmetric operators, Trans. Amer. Math. Soc., 362, 6065, 10.1090/S0002-9947-2010-05068-8 Gordon, 1999, The composition operators on the space of Dirichlet series with square summable coefficients, Michigan Math. J., 46, 313, 10.1307/mmj/1030132413 Hedenmalm, 1997, A Hilbert space of Dirichlet series and systems of dilated functions in L2(0,1), Duke Math. J., 86, 1, 10.1215/S0012-7094-97-08601-4 Jung, 2014, Complex symmetric weighted composition operators on H2(D), J. Funct. Anal., 267, 323, 10.1016/j.jfa.2014.04.004 Narayan, 2016, Complex symmetric composition operators on H2, J. Math. Anal. Appl., 443, 625, 10.1016/j.jmaa.2016.05.046 Noor, 2014, Complex symmetry of composition operators induced by involutive ball automorphisms, Proc. Amer. Math. Soc., 142, 3103, 10.1090/S0002-9939-2014-12029-6 Noor Noor, 2015, On an example of a complex symmetric composition operator on H2(D), J. Funct. Anal., 269, 1899, 10.1016/j.jfa.2015.06.019 Queffélec, 2015, Approximation numbers of composition operators on the H2 space of Dirichlet series, J. Funct. Anal., 268, 1612, 10.1016/j.jfa.2014.11.022 Shapiro, 1993 Wang, 2015, Invariant subspaces of composition operators on a Hilbert space of Dirichlet series, Ann. Funct. Anal., 6, 179, 10.15352/afa/06-4-179 Zhu, 2007, Operator Theory in Function Spaces, vol. 138