Topological Components of the Space of Composition Operators on Fock Spaces

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• 作者：Jineng Dai (1) (2)
  
  1. Department of Mathematics ; Wuhan University of Technology ; Wuhan ; 430070 ; China
  2. School of Science ; Wuhan Institute of Technology ; Wuhan ; 430074 ; China
  
• 关键词：Composition operator ; Fock space ; Component ; 47B33
• 刊名：Complex Analysis and Operator Theory
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：9
• 期：1
• 页码：201-212
• 全文大小：197 KB
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  2. Bourdon, P.: Components of linear-fractional composition operators. J. Math. Anal. Appl. 279, 228鈥?45 (2003) CrossRef
  3. Carswell, B., MacCluer, B., Schuster, A.: Composition operators on the Fock space. Acta Sci. Math. (Szeged) 69, 871鈥?87 (2003)
  4. Choe, B., Izuchi, K., Koo, H.: Linear sums of two composition operators on the Fock space. J. Math. Anal. Appl. 369, 112鈥?19 (2010) CrossRef
  5. Cowen, C., MacCluer, B.: Composition Operators on Spaces of Analytic Functions. CRC Press, Boca Raton (1995)
  6. Gallardo-Guti茅rrez, E., Gonz谩lez, M., Nieminen, P., Saksman, E.: On the connected component of compact composition operators on the Hardy space. Adv. Math. 219, 986鈥?001 (2008) CrossRef
  7. Gorkin, P., Mortini, R., Su谩rez, D.: Homotopic composition operators on \(H^{\infty }(B^{n})\) . Contemp. Math. 328, 177鈥?88 (2003) CrossRef
  8. Hosokawa, T., Izuchi, K., Zheng, D.: Isolated points and essential components of composition operators on \(H^\infty \) . Proc. Am. Math. Soc. 130, 1765鈥?773 (2002) CrossRef
  9. MacCluer, B.: Components in the space of composition operators. Integral Equ. Oper. Theory 12, 725鈥?38 (1989) CrossRef
  10. MacCluer, B., Ohno, S., Zhao, R.: Topological structure of the space of composition operators on \(H^{\infty }\) . Integral Equ. Oper. Theory 40, 481鈥?94 (2001) CrossRef
  11. Moorhouse, J.: Compact differences of composition operators. J. Funct. Anal. 219, 70鈥?2 (2005) CrossRef
  12. Shapiro, J., Sundberg, C.: Isolation amongst the composition operators. Pacific J. Math. 145, 117鈥?52 (1990) CrossRef
  13. Toews, C.: Topological components of the set of composition operators on \(H^{\infty }(B_N)\) . Integral Equ. Oper. Theory 48, 265鈥?80 (2004) CrossRef
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Operator Theory
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1661-8262

文摘

In this paper we completely characterize the topological components of the space of composition operators acting on Fock spaces in \(C^n\) .