Robert Pluta

Education background

Ph.D. in Mathematics
Trinity College Dublin

Courses teaching in WKU

MATH 2995 MATRIX & LINEAR ALGEBRA

GE 2024 RESEARCH AND TECHNOLOGY

Biography

Former affiliation: University of California, Irvine. I have a broad teaching experience [1] ranging from undergraduate courses in algebra, linear algebra and calculus to graduate real, complex and functional analysis. A considerable amount of my time and energy goes into teaching, but I also maintain my commitment to scholarly activity in the form of research. My research interests are in the field of mathematical and functional analysis with a focus on operator algebras and ternary rings of operators. On research, I have worked both independently and collaboratively with Professor Bernard Russo. My joint work with Russo [2] has been selected as the 2018 Best Paper Award Winner among 111 papers published in the years 2016 and 2017 in Advances in Operator Theory.

[1] Link to the fie 1.pdf

[2] https://www.math.uci.edu/node/36363

Selected Publications/scholarly and creative work

Pluta, R.; Russo, B. Ternary operator categories, Journal of Mathematical Analysis and Applications, Volume 505, Issue 2, 15 January 2022.

Pluta, R.; Russo, B. Operator Categories I. T*-categories, 2020, arXiv:2010.14593.

Pluta, R.; Russo, B. On the structure of weakly closed ternary rings of operators. Royal Irish Academy, 2019.

Pluta, R.; Russo, B. Corrigendum: Derivations on ternary rings of operators. Oper. Matrices 13, 2019, no. 2, 563–568.

Pluta, R.; Russo, B. Projections on von Neumann algebras as limits of elementary operators. Linear Algebra Appl. 557, 2018, 188–200.

Pluta, R.; Russo, B. Derivations on ternary rings of operators. Oper. Matrices 12, 2018, no. 2, 393–406.

Pluta, R.; Russo, B. Homomorphic conditional expectations as noncommutative retractions. Adv. Oper. Theory 2, 2017, no. 4, 396–408.

Pluta, R.; Russo, B. Triple derivations on von Neumann algebras. Studia Math. 226, 2015, no. 1, 57–73.

Pluta, R. Ranges of bimodule projections and conditional expectations. Cambridge Scholars Publishing, Newcastle upon Tyne, 2013. viii+204 pp. ISBN: 978-1-4438-4612-7; 1-4438-4612-0.