Clarkson-McCarthy Inequalities for Several Operators and Related Norm Inequalities for p-Modified Unitarily Invariant Norms

摘要

Let parallel to center dot parallel to(Phi) be a unitarily invariant norm related to a symmetrically norming (s.n.) function Phi, defined on the associated ideal C-Phi(H) of compact Hilbert space operators, let parallel to center dot parallel to(Phi(q)) be its degree q-modification, let parallel to center dot parallel to(Phi(q)*) be a dual norm to parallel to center dot parallel to(Phi(q)) and let [A(m,n)](m,n is an element of Z) be a block operator matrix. We show that, if 0 < p <= 2 and q >= p, then