Common properties of the operator products in local spectral theory
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| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-5116-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-5116-5 | ||
| 245 | 0 | 0 | |a Common properties of the operator products in local spectral theory |h [Elektronische Daten] |c [Kai Yan, Xiao Fang] |
| 520 | 3 | |a Let X, Y be Banach spaces, A,D: X → Y and B,C: Y → X be the bounded linear operators satisfying operator equation set $\left\{ \begin{gathered} ACD = DBD, \hfill \\ DBA = ACA. \hfill \\ \end{gathered} \right. $ . In this paper, we show that AC and BD share some basic operator properties such as the injectivity and the invertibility. Moreover, we show that AC and BD share many common local spectral properties including SVEP, Bishop property (β) and Dunford property (C). | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Jacobson's lemma |2 nationallicence | |
| 690 | 7 | |a operator equation set |2 nationallicence | |
| 690 | 7 | |a common property |2 nationallicence | |
| 690 | 7 | |a local spectral theory |2 nationallicence | |
| 700 | 1 | |a Yan |D Kai |u Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China |4 aut | |
| 700 | 1 | |a Fang |D Xiao |u Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1715-1724 |x 1439-8516 |q 31:11<1715 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-5116-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-5116-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yan |D Kai |u Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Fang |D Xiao |u Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1715-1724 |x 1439-8516 |q 31:11<1715 |1 2015 |2 31 |o 10114 | ||