In Quantum Physics, a measurement is represented by a projection on some closed subspace of a Hilbert space. We study algebras of operators that abstract from the algebra of projections on closed subspaces of a Hilbert space. The properties of such operators are justified on epistemological grounds. Commutation of measurements is a central topic of interest. Classical logical systems may be vie...

The primary goal is to characterize Locally H-closed spaces (LHC), by conditions on the remainders of their extensions. These are also characterized using subspaces and extensions as well. Characterizing these classes in provide characterizations them terms boundaries. Recently, authors have proved that results give necessary sufficient for space be compact A number equivalences Hausdorff (Urys...

In a previous paper, the author considered several conditions for effective zero-dimensionality of a computable metric space X; each of the (classically equivalent) properties of having vanishing small or large inductive dimension, or covering dimension, or having a countable basis of clopen sets, can be interpreted as multi-valued operations, and the computability of these operations was shown...

Several specific types of generalized sets (briefly, g-T_g-sets in topological spaces T_g-spaces have been defined and investigated for various purposes from time to the literature T_g-spaces. Our recent research field a new class is reported herein as starting point more classes. It shown that superclass those whose elements are called open, closed, semi-open, semi-closed, pre-open, pre-closed...

In this article, the new closed-loop current harmonics compensation strategy is introduced in switching-table-based direct torque control (ST-DTC) of dual three-phase permanent magnet synchronous machines. The harmonic distortion major problem ST-DTC multiphase machines and typically caused by lack auxiliary x-y subspace under vector space decomposition model. synthetic vectors to obtain averag...

The Tietze-Urysohn Theorem states that every continuous real-valued function defined on a closed subspace of a normal space can be extended to a continuous function on the whole space. We prove an effective version of this theorem in the Type Two Model of Effectivity (TTE). Moreover, we introduce for qcb-spaces a slightly weaker notion of normality than the classical one and show that this prop...

This note is devoted to the answers to the following questions asked by V. I. Bogachev, B. Kirchheim and W. Schachermayer: 1. Let T : l1 → X be a linear map into the infinite dimensional Banach spaceX. Can one find a closed infinite dimensional subspace Z ⊂ l1 such that T ∣∣ Z is continuous? 2. Let X = c0 or X = lp (1 < p <∞) and let T : X → X be a linear map. Can one find a dense subspace Z of...