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Abstract
Let be the algebra of all bounded linear operators on Banach space X. We determine the form of maps (not necessarily linear)
which satisfies the following condition
for different kinds of binary operations
on operators: The sum
, the product AB, triple product ABA, and Jordan product
for all
where
is the set of operators commuting with
.
AMS Subject Classifications:
Acknowledgements
The authors thank the referee for carefully reading the paper and for giving many valuable suggestions.
Notes
No potential conflict of interest was reported by the authors.