全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

算子的亚循环性与拓扑一致降标

Keywords: 亚循环算子,拓扑一致降标,算子的单值延拓性质

Full-Text   Cite this paper   Add to My Lib

Abstract:

利用算子的拓扑一致降标,给出了算子~$A\in\overline{HC(H)}$~的判定方法,其中~$\overline{HC(H)}$~表示无限维可分的复~Hilbert~空间~$H$~上所有亚循环算子集合的范数闭包.

References

[1]  Math Soc Japan, 1982, 34(2): 317-337.
[2]  {2}
[3]  AIENA P. Fredholm and Local Spectral Theory, with Applications to
[4]  Multipliers[M]. Dordrecht: Kluwer Academic Publishers, 2004.
[5]  {3}
[6]  LAURSEN K B, NEUMANN M M. An Introduction to Local Spectral
[7]  Theorey[M]. London Math Soc Monogr New Ser 20. New York: Clarendon
[8]  Press, 2000.
[9]  {4}
[10]  FINCH J K. The single valued extension property on a Banach
[11]  space[J]. Pacific J Math, 1975, 58(1): 61-69.
[12]  Journal of Functional Analysis, 1991, 99: 179-190.
[13]  ZHU S, LI CH G. SVEP and compact perturbation[J]. Journal of
[14]  {1}
[15]  GRABINER S. Uniform ascent and descent of bounded operators[J]. J
[16]  {5}
[17]  HERRERO D A. Limits of hypercyclic and supercyclic operators[J].
[18]  {6}
[19]  Mathematical Analysis and Applications, 2011, 380: 69-75.
[20]  {7}
[21]  JIANG Q F, ZHONG H J, ZENG Q P. Topological uniform descent and
[22]  localized SVEP[J]. Journal of Mathematical Analysis and
[23]  Applications, 2012, 390: 355-361.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133