Properties of completely bounded operators have been investigated in the past under a variety of aspects. There are detailed studies of their spectra, compactness and norm properties as well as their compatibility with various order relations have closely been examined. Through these studies it has emerged that for a general bounded operators, a full description of their properties is rather intricate since these are often intimately interwoven with the underlying algebras. In our study we have proved that the lower bound of completely bounded operator is 2 (c=2)using derivation and tensor...