JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (08): 20-23.doi: 10.6040/j.issn.1671-9352.0.2014.284

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Additive maps on standard operator algebras preserving divisors

MENG Jiao, JI Guo-xing   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, Shaanxi, China
  • Received:2014-06-20 Online:2015-08-20 Published:2015-07-31

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Abstract: Let A and B be standard operator algebras on complex Banach spaces X and Y, respectively. A characterization of additive surjection Φ: A →B which preserves left(right) divisors in both directions or preserves divisors in both directions is given.

Key words: standard operator algebras, divisors, additive maps

CLC Number: 

  • O177.1
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