[HTML][HTML] A solution to the Cauchy dual subnormality problem for 2-isometries

A Anand, S Chavan, ZJ Jabłoński, J Stochel - Journal of Functional …, 2019 - Elsevier
The Cauchy dual subnormality problem asks whether the Cauchy dual operator T′:= T (T⁎
T)− 1 of a 2-isometry T is subnormal. In the present paper we show that the problem has a …

Multishifts on directed Cartesian product of rooted directed trees

S Chavan, DK Pradhan, S Trivedi - arXiv preprint arXiv:1607.03860, 2016 - arxiv.org
We systematically develop the multivariable counterpart of the theory of weighted shifts on
rooted directed trees. Capitalizing on the theory of product of directed graphs, we introduce …

Complete systems of unitary invariants for some classes of -isometries

A Anand, S Chavan, ZJ Jabłoński, J Stochel - 2019 - projecteuclid.org
We characterize the unitary equivalence of 2-isometric operators satisfying the so-called
kernel condition. This relies on a model for such operators built on operator-valued …

Operator algebras associated with graphs and categories of paths: a survey

J Bukoski, S Singla - International Workshop on Operator Theory and its …, 2021 - Springer
Many interesting examples of operator algebras, both self-adjoint and non-self-adjoint, can
be constructed from directed graphs. In this survey, we overview the construction of C∗ …

Free multivariate w*-semicrossed products: reflexivity and the bicommutant property

RT Bickerton, ETA Kakariadis - Canadian Journal of Mathematics, 2018 - cambridge.org
Free Multivariate w*-Semicrossed Products: Reflexivity and the Bicommutant Property Page 1
Canad. J. Math. Vol. (), pp. – http://dx.doi.org/. /CJM-- ©Canadian Mathematical Society Free …