International Journal of Functional Analysis, Operator Theory and Applications
Volume 10, Issue 3, Pages 159 - 166
(October 2018)
http://dx.doi.org/10.17654/FA010030159 |
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k-BICOMPOUND OPERATORS ON BANACH SPACES
Nareen Bamerni
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Abstract:
In this paper, we define and study a new class of operators on Banach spaces which is called k-bicompound operators. We use these operators to give a partial answer to two open problems in the literature. In particular, we show that an operator T is k-bicompound if and only if every component of T is compound. Also, we show that if an operator T is r-compound for some r ≥ 1, then T is k-bicompound. |
| Keywords and phrases: diskcyclic operators, direct sums.
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