Hilbert空间上的连续算子值框架若干性质  

Some properties of continuous operator valued frame in Hilbert spaces

作　　者：李丹[1] 孟彬[1] 徐盛馀[1] 

机构地区：[1]南京航空航天大学理学院,江苏南京210016

出　　处：《宝鸡文理学院学报（自然科学版）》2010年第4期5-7,13,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：南京航空航天大学基本科研业务费用专项资金资助(No.NS20100197)

摘　　要：目的引入了Hilbert空间连续算子值框架的概念,并研究Hilbert空间上连续算子值框架的若干性质。方法用算子理论的方法进行研究。结果对(等范数)连续算子值框架做怎样的变换仍是连续算子值框架。结论知道连续算子值框架的证明与离散算子值框架证明方法的差异且丰富了算子值框架的理论知识。Aim To investigate some properties of continuous operator valued frame in Hilbert spaces by introducing concept of continuous operator valued frame and studying. Methods The operator theory is used to investigate. Results Continuous operator valued frame （such as equal norm） is still a continuous operator valued frame whatever transformation is done. Conclusion The difference proof method between continuous operator valued frame and discrete operator valued frame is known and the operator theoretical knowledge is enriched.

关 键 词：连续算子值框架 相似 等范数算子值框架 

分 类 号：O177.1[理学—数学]