s: Plenary Speakers Spiros Argyros (National Technical University of Athens, Greece) [email protected] HI extensions of L∞ spaces and spaces with very few operators Tuesday, July 30, HA4, 9:00–9:50 We will present a general method of embedding Banach spaces with separable dual into L∞ spaces admitting very few operators. In particular we will discuss the following two results. Theorem 1. (i...

In the first part of the paper we recall the coalgebraic approach to handling the so-called invisible transitions that appear in different state-based systems semantics. We claim that these transitions are always part of the unit of a certain monad. Hence, coalgebras with internal moves are exactly coalgebras over a monadic type. The rest of the paper is devoted to supporting our claim by study...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

Behavioral dynamics of living species is characterized by additonal nonNewtonian properties which are not included in the laws of Newtonian or statistical mechanics. These properties follow from a priviledged ability of living systems to process information, namely, to generate a force in response to an external cue. In this paper “free-will-based” forces will be incorporated into the neurodyna...

Sufficient conditions for the invariance of evolution problems governed by perturbations (possibly nonlinear) m-accretive operators are provided. The with respect to sublevel sets a constraining functional expressed in terms Dini derivative that functional, outside considered set directions determined operator. An approach non-reflexive Banach spaces is developed and some result improving recen...

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The dynamic interplay between reflexive and controlled determinants of behavior is one of the most general organizing principles of brain function. A powerful analogue of this interplay is seen in the antisaccade task, which pits reflexive and willed saccadic mechanisms against one another. Event-related functional magnetic resonance imaging of the human brain showed greater prestimulus prepara...

We present the beginnings of an account of how representations and processes developed for the purposes of reflective reasoning provide a basis for reflexive reasoning as well. Specifically, we show how the symbolic-connectionist representations that underlie the DORA model (Doumas & Hummel, 2005), and the comparison based routines that DORA exploits in the service of addressing reflective prob...

The article discusses the definition of reflection as an activity and examines main factors that determine kinds reflection. According to author article, can be defined by following formula: direction attention EXPERIENCE for “detection” its FORMS their fixation means certain SEMIOTIC TOOLS carried out sake achieving some PURPOSE. In this formulation, terms “experience”, “form”, “semiotic tools...