COMMUTATORS ON Lp, 1 ≤ p < ∞.

The article discusses the problems that arise when derivations on a general Banach algebra is used to classify the commutators in the algebra since it is hard to solve problems on general Banach algebra. A change occurs if an arbitrary Banach algebra is not used but rather algebra L(X) of all bounded linear operators on the Banach space X is used. The underlying structures of the space X will reportedly give enough information about the operators on X to provide a successful solution.