"Let $\B_X$ be a bounded symmetric domain realized as the open unit ball of JB*-triple $X$ which may infinite dimensional. In this paper, we characterize weighted composition operators from Hardy space $H^{\infty}(\mathbb{B}_X)$ into $\alpha $-Bloch $\mathcal{B}^\alpha (\B_X)$ on $\mathbb{B}_X$. Later, show multiplication operator is bounded. Also, give norm operator."

We give a solution, via operator spaces, of an old problem in the Morita equivalence of C*-algebras. Namely, we show that C*-algebras are strongly Morita equivalent in the sense of Rieffel if and only if their categories of left operator modules are isomorphic via completely contractive functors. Moreover, any such functor is completely isometrically isomorphic to the Haagerup tensor product (=...

We prove that the the exponential moments of the position operator stay bounded for the supercritical almost Mathieu operator with Diophantine frequency.