Norm Inequalities for Inner Product Type Integral Transformers

Abstract

In this paper, we give a detailed survey on norm inequalities for inner product type integral transformers. We first consider unitarily invariant norms and operator valued functions. We then give results on norm inequalities for inner product type integral transformers in terms of Landau inequality, Gr\" uss inequality. Lastly, we explore some of the applications in quantum theory.

arXiv admin note: substantial text overlap with arXiv:1111.3112, arXiv:1610.03869 by other authors