Hilbert空间H中的广义迹Generalized Trace in Hilbert Spaces
姚喜妍,买阿丽,高桂宝
摘要(Abstract):
引入了Hilbert空间H中的广义迹,运用算子理论方法,讨论了Hilbert空间H中的广义迹的一些刻画,证明了H中的广义迹与迹相等的充分必要条件为H中框架是正规紧框架。
关键词(KeyWords): 框架;广义迹
基金项目(Foundation): 山西省高校科技开发项目(2007150);; 运城学院重点科研项目(20060103)
作者(Author): 姚喜妍,买阿丽,高桂宝
参考文献(References):
- [1]GABOR D.Theory of communications[J].J.Inst Elec Engrg,1946,93:429-457.
- [2]DUFFIN R J,SCHAEFFER A C.A class of nonharmonic Fourier series[J].Trans Amer Math Soc.,1952,72:341-366.
- [3]HEIL C,WALUNUTD.Continuous and discrete wavelet transforms[J].SIAM Rev 1989,31:628-666.
- [4]DAUBECHIES I,GROSSMANN A,MEYER Y.Painless nonorthogonal expansions[J].J.Math.Phys.,1986,27:1271-1283.
- [5]CASAZZA P G.The art of frame theory[J].Taiwanese Journal of Mathematics,2000,4(2):129-201.
- [6]RUDIN W.Functional analysis[M].New York:McGraw-Hill Inc,1973.