6 papers · 1 filter
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…
Operators on anti-dual pairs: Generalized Krein--von Neumann extension
Zsigmond Tarcsay, Tamás Titkos
The main aim of this paper is to generalize the classical concept of positive operator, and to develop a general extension theory, which overcomes not only the lack of a Hilbert sp…
On isometric embeddings of Wasserstein spaces -- the discrete case
György Pál Gehér, Tamás Titkos, Dániel Virosztek
The aim of this short paper is to offer a complete characterization of all (not necessarily surjective) isometric embeddings of the Wasserstein space ,…
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…