Contents Introduction Part I. Function theory 1. Basic properties of H 2 2. Multipliers and the
d-dimensional shift 3. von Neumann's inequality and the sup norm 4. Maximality of the H2 …

A free semigroup algebra is the weak operator topology closed algebra generated by a set
of isometries with pairwise orthogonal ranges. The most important example is the left regular …

Bohr's inequality says that if generators. We also include an application to Banach algebras.
We prove that every Banach algebra has an equivalent norm in which it satisfies a non …

We obtain an explicit representation formula and a Nevanlinna-Pick-type interpolation
theorem for the multiplier space of the reproducing kernel space ℌ (kd) of analytic functions …

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules
precipitated a number of major research efforts. This in turn led to some intriguing and …

The non-commutative analytic Toeplitz algebra is the WOT-closed algebra generated by the
left regular representation of the free semigroup on n generators. We obtain a distance …

General results of interpolation (eg, Nevanlinna-Pick) by elements in the noncommutative
analytic Toeplitz algebra F∞(resp., noncommutative disc algebra A n) with consequences to …

This paper concerns unitary invariants for $ n $-tuples $ T:=(T_1,\ldots, T_n) $ of (not
necessarily commuting) bounded linear operators on Hilbert spaces. The author introduces …

We develop a notion of Morita equivalence for general C-correspondences over C-algebras.
We show that if two correspondences are Morita equivalent, then the tensor algebras built …

We study algebras of bounded, noncommutative (nc) analytic functions on nc subvarieties of
the nc unit ball. Given an nc variety $\mathfrak {V} $ in the nc unit ball $\mathfrak {B} _d …