Maps preserving peripheral spectrum of generalized Jordan products of operators
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4367-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4367-5 | ||
| 245 | 0 | 0 | |a Maps preserving peripheral spectrum of generalized Jordan products of operators |h [Elektronische Daten] |c [Wen Zhang, Jin Hou, Xiao Qi] |
| 520 | 3 | |a Let X 1 and X 2 be complex Banach spaces with dimension at least three, A 1 and A 2 be standard operator algebras on X 1 and X 2, respectively. For k ≥ 2, let (i 1, i 2,..., i m ) be a finite sequence such that {i 1, i 2,..., i m} = {1, 2,..., k} and assume that at least one of the terms in (i 1,..., i m) appears exactly once. Define the generalized Jordan product $${T_1} \circ {T_2} \circ \cdots \circ {T_k} = {T_{{i_1}}}{T_{{i_2}}} \cdots {T_{{i_m}}} + {T_{{i_m}}} \cdots {T_{{i_2}}}{T_{{i_1}}}$$ on elements in A i . This includes the usual Jordan product A 1 A 2 + A 2 A 1, and the Jordan triple A 1 A 2 A 3 + A 3 A 2 A 1. Let Φ: A 1 → A 2 be a map with range containing all operators of rank at most three. It is shown that Φ satisfies that σ π (Φ(A 1) ○ · · · ○ Φ(A k )) = σ π (A1 ○ ··· ○ A k ) for all A 1,..., A k , where σ π (A) stands for the peripheral spectrum of A, if and only if Φ is a Jordan isomorphism multiplied by an m-th root of unity. | |
| 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 Peripheral spectrum |2 nationallicence | |
| 690 | 7 | |a generalized Jordan products |2 nationallicence | |
| 690 | 7 | |a Banach spaces |2 nationallicence | |
| 690 | 7 | |a standard operator algebras |2 nationallicence | |
| 700 | 1 | |a Zhang |D Wen |u Department of Mathematics, Shanxi University, 030006, Taiyuan, P. R. China |4 aut | |
| 700 | 1 | |a Hou |D Jin |u Department of Mathematics, University of Technology, 030024, Taiyuan, P. R. China |4 aut | |
| 700 | 1 | |a Qi |D Xiao |u Department of Mathematics, Shanxi University, 030006, Taiyuan, 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 31/6(2015-06-01), 953-972 |x 1439-8516 |q 31:6<953 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4367-5 |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/s10114-015-4367-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Wen |u Department of Mathematics, Shanxi University, 030006, Taiyuan, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hou |D Jin |u Department of Mathematics, University of Technology, 030024, Taiyuan, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Qi |D Xiao |u Department of Mathematics, Shanxi University, 030006, Taiyuan, 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 31/6(2015-06-01), 953-972 |x 1439-8516 |q 31:6<953 |1 2015 |2 31 |o 10114 | ||