期刊文献+

Toeplitz算子的可逆性

Invertibility of Toeplitz operators
下载PDF
导出
摘要 讨论了本性有界函数的本性值域以及Toeplitz算子的可逆性与本性可逆性,给出了符号在L∞中的Toeplitz算子为Fredholm算子的充要条件. In the present paper, we discuss the essential ranges of essential bounded functions,and the invertibilityand essential invertibility of Toeplitz operators. In addition,the iff condition for the Fredholm Toeplitz operator with symbol in L^∞ is obtained.
作者 肖辉 曹广福
出处 《广州大学学报(自然科学版)》 CAS 2005年第4期302-304,315,共4页 Journal of Guangzhou University:Natural Science Edition
关键词 内函数 幺模函数 TOEPLITZ算子 FREDHOLM算子 Inner function unimodular function Toeplitz operator Fredholm operator
  • 相关文献

参考文献5

  • 1R G Douglas. Banach algebra techniques in operator theory[ M]. New York: Academic Press, 1972.
  • 2A M David, N P Jewell. Toeplitz operators in several complex variables[J]. J Functional Analysis, 1977, 26:356-368.
  • 3G F Cao, S H Sum. On connectivity of the essential spectra of Toeplitz operators with symbols in H∞ + C[J]. Chin Ann Math,1996, 15(2) :92- 102.
  • 4Walter Rudin. Function theory in the unit ball of En[M]. New York: Springer-Verlag, 1980.
  • 5A Devinatz. Toeplitz operators on H2[J]. Trans Amer Math Soc, 1964, 112:304-317.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部