5 papers
Operators on anti-dual pairs: self-adjoint extensions and the Strong Parrott Theorem
Zsigmond Tarcsay, Tamás Titkos
The aim of this paper is to develop an approach to obtain self-adjoint extensions of symmetric operators acting on anti-dual pairs. The main advantage of such a result is that it c…
Operators on anti-dual pairs: Generalized Schur complement
Zsigmond Tarcsay, Tamás Titkos
The goal of this paper is to develop the theory of Schur complementation in the context of operators acting on anti-dual pairs. As a byproduct, we obtain a natural generalization o…
Isometric study of Wasserstein spaces --- the real line
György Pál Gehér, Tamás Titkos, Dániel Virosztek
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space . It turned out that the case of the rea…
Quasi-units as orthogonal projections
Zsigmond Tarcsay, Tamás Titkos
The notion of quasi-unit has been introduced by Yosida in unital Riesz spaces. Later on, a fruitful potential theoretic generalization was obtained by Arsove and Leutwiler. Due to…
A characterization of positive normal functionals on the full operator algebra
Zoltán Sebestyén, Zsigmond Tarcsay, Tamás Titkos
Using the recent theory of Krein--von Neumann extensions for positive functionals we present several simple criteria to decide whether a given positive functional on the full opera…