3 papers
math.LO2026
Four negations and the spectral presheaf
Benjamin Engel, Ryshard-Pavel Kostecki
Using Vakarelov's theory of lattice logics with negation, we introduce the (co)quasiintuitionistic logic, and prove its soundness and completeness with respect to the class of (co)…
math.FA2025
Vaĭnberg--Brègman relative entropy and quasinonexpansive operators
Ryshard-Pavel Kostecki
We review the theory of Vaĭnberg--Brègman relative entropies and quasinonexpansive operators on reflexive Banach spaces, and obtain several new results. We also develop an extensio…
math-ph2017
Towards postquantum Vaĭnberg--Brègman relative entropies
Ryshard-Pavel Kostecki
We develop a new approach to construction of the Vaĭnberg--Brègman relative entropies over nonreflexive Banach spaces, based on nonlinear embeddings into reflexive Banach spaces. W…