On principal invariant subspaces

Verfasser / Beitragende:
[Xiao Xu, Xiao Fang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/10(2015-10-01), 1621-1628
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4362-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4362-x 
245 0 0 |a On principal invariant subspaces  |h [Elektronische Daten]  |c [Xiao Xu, Xiao Fang] 
520 3 |a Let F and G be closed subspaces of the complex Hilbert space H, and U and V be closed subspaces of F and G, respectively. In this paper, using the technique of operator block, we present the necessary and sufficient conditions under which (U, V) is a pair of (strictly, non-degenerate) principal invariant subspaces for (F, G). 
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 Hilbert space  |2 nationallicence 
690 7 |a operator matrix  |2 nationallicence 
690 7 |a invariant subspace  |2 nationallicence 
690 7 |a principal invariant subspace  |2 nationallicence 
700 1 |a Xu  |D Xiao  |u School of Science, Shanghai Institute of Technology, 201418, 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 31/10(2015-10-01), 1621-1628  |x 1439-8516  |q 31:10<1621  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4362-x  |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/s10114-015-4362-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xu  |D Xiao  |u School of Science, Shanghai Institute of Technology, 201418, 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 31/10(2015-10-01), 1621-1628  |x 1439-8516  |q 31:10<1621  |1 2015  |2 31  |o 10114