… This paper is devoted to the study of dominant operators with an emphasis on their … , a
dominant operator has a normal direct summand. Along these lines we include a variation on a …

… Convolutiondominated matrices over the index set Zd were introduced by Gohberg, …
operators. We consider matrices indexed by a discrete group G: every operator on l2 …

… a dominated operator. Under not very restrictive conditions, every dominated operator has
the exact dominant. … Next, we consider a result on extension of a dominated operator. We also …

… on x" > 0. He assumed that P (x, D) is formally hypoelliptic, ie, that it is a variable
coefficienti operator which for each x equals a constant coefficient hypoelliptic operator and is …

… calculating the index of a Fredholm band-dominated operator A in terms of its limit operators.
Here we restrict ourselves to band-dominated operators on 12 (Z) with scalar-valued coeffi- …

… Let £(3C) denote the algebra of bounded operators on a Hilbert space 3C. An operator T e
£(3C… As a corollary we show that a hyponormal operator which is similar to a normal operator …

… (CRP) if and only if any dominated operator T from C0, 1] into … operators (for the definitions
the reader can look at [3]). We make use of the following facts: (o) any dominated operator on …

… In the last part of the proof, we cannot directly conclude that the domain inclusions on the
entries imply D(S) ⊂ D(T ) and hence the claim on the left hand side. The last conclusion only …

… We show firstly that if A and B*EB(H) are dominant operators such that the pure part of B
has non-trivial kernel, then C (A, B) X = 0, n some natural number, implies that C(A, B) X = C(A*, …

… In these notes we derive variants of Theorem 1.2 for integral operators on non-discrete
locally compact groups. This extension follows the ideas of the discrete case in [13], but requires …