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Schatten Class Operators in (La2(+))\msbm=MTMIB${\cal L}\left( {L_a^2 \left( {{\msbm C}_+ } \right)} \right)$


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[1] R. Bhatia and P. Semrl, Distance between hermitian operators in Schatten classes, Proc. Edinb. Math. Soc., 39, (1996), 377–380.10.1017/S0013091500023105Search in Google Scholar

[2] M. S. Birman and M. Z. Solomyak, Spectral Theory of Self-Adjoint Operators in Hilbert Space, Reidel Dordrecht, The Netherlands, 1986.10.1007/978-94-009-4586-9Search in Google Scholar

[3] S. Elliott and A. Wynn, Composition operators on weighted Bergman spaces of a half plane, Proc. Edinb. Math. Soc., 54, (2011), 373–379.10.1017/S0013091509001412Open DOISearch in Google Scholar

[4] E. M Ibbaoui and H. Naqos E. O. Fallah, Composition operators with univalent symbol in Schatten classes, J. Funct. Anal., 3, (2014), 1547–1564.10.1016/j.jfa.2013.10.031Search in Google Scholar

[5] A. Feintuch, On Hankel operators associated with a class of Non-Toeplitz operators, J. Funct. Anal., 94, (2009), 1-13.10.1016/0022-1236(90)90025-GSearch in Google Scholar

[6] T. Furuta, A simplified proof of Heinz inequality and scrutiny of its equality, Proc. Amer. Math. Soc., 97, (1986), 751–753.10.1090/S0002-9939-1986-0846001-3Search in Google Scholar

[7] T. Furuta, Reverse inequalities involving two relative operator entropies and two relative entropies, Linear Algebra Appl., 403, (2005), 24–30.10.1016/j.laa.2004.12.035Search in Google Scholar

[8] A. Karapetyants and N. Vasilevski S. Grudsky, Dynamics properties of Toeplitz operators on the upper half-plane: parabolic case, J. Operator Theory, 52, (2004), 1–31.Search in Google Scholar

[9] I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Non-self adjoint Operators in Hilbert Space, American Mathematical Society, USA, 1969.10.1090/mmono/018Search in Google Scholar

[10] E. Heinz, On an inequality for linear operators in a Hilbert space, Report on Operator Theory and Group Representations, National Academy of Science, USA, 387, (1995), 27-29.Search in Google Scholar

[11] H. S. Kang, Berezin transforms and Toeplitz operators on the weighted Bergman space of the half plane, Bull. Korean Math. Soc., 40, (2007), 281–290.10.4134/BKMS.2007.44.2.281Open DOISearch in Google Scholar

[12] C. S. Lin, Polar decomposition approach to Reid’s inequality, J. Inequal. Appl., 7, (2002), 779–785.10.1155/S1025583402000401Search in Google Scholar

[13] J. Miao and D. Zheng, Compact operators on Bergman spaces, Integral Equations Operator Theory, 48, (2004), 61-79.10.1007/s00020-002-1176-xSearch in Google Scholar

[14] N. K. Nikolskii, Treatise on the shift operator, Springer-Verlag, Berlin, 1985.Search in Google Scholar

[15] W. Rudin, Principles of Mathematical Analysis, McGraw-Hill, New York, 1976.Search in Google Scholar

[16] V. V. Peller, Hankel Operators and Their Applications, Spinger, Germany, 2003.10.1007/978-0-387-21681-2Search in Google Scholar

[17] B. Simon, Trace Ideals and Their Applications, American Mathematical Society, USA, 2005.Search in Google Scholar

[18] D. Walsh and F. Holland, Hankel operators in Von-Neumann-Schatten classes, Illinois J. Math., 32, (1988), 1-22.10.1215/ijm/1255989225Search in Google Scholar

[19] K.Zhu, Operator Theory in Fuction Spaces, Marcel Dekker, New York, 1990.Search in Google Scholar

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Mathematics, General Mathematics