This volume contains the proceedings of the workshop on Recent
Trends in Operator Theory and Applications (RTOTA 2018), held from
May 3-5, 2018, at the University of Memphis, Memphis, Tennessee.
The articles introduce topics from operator theory to graduate
students and early career researchers. Each such article provides
insightful references, selection of results with articulation to
modern research and recent advances in the area. Topics addressed
in this volume include: generalized numerical ranges and their
application to study perturbation of operators, and connections to
quantum error correction; a survey of results on Toeplitz
operators, and applications of Toeplitz operators to the study of
reproducing kernel functions; results on the 2-local reflexivity
problem of a set of operators; topics from the theory of
preservers; and recent trends on the study of quotients of tensor
product spaces and tensor operators. It also includes research
articles that present overviews of state-of-the-art techniques from
operator theory as well as applications to recent research trends
and open questions. A goal of all articles is to introduce topics
within operator theory to the general public.
General
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