Abstract:
The study of norms of operators forms a very important aspect in functional analysis and in particular operator theory. In this, paper we present norms of operators in Hilbert spaces. Moreover, we outline the theory of normal, self-adjoint and norm-attainable operators. The methodology involved the use of tensor products, numerical ranges and known mathematical inequalities. The results show that adjoints of norm-attainable operators are also norm-attainable. Moreover, we have also obtained several norm-estimates for norm-attainable operators. The results are useful in applications in quantum computing and image processing.
