Standard Dutch and German have two reflexive forms: a weak form (zich in Dutch and sich in German) and a strong form (zichzelf in Dutch and sich selbst in German). The choice between the two reflexive forms in Dutch has been explained by the selectional restrictions of the verb, distinguishing between three verb classes: inherently reflexive verbs, accidentally reflexive verbs and transitive ve...

Let $$X(\mathbb {R})$$ be a separable Banach function space such that the Hardy-Littlewood maximal operator is bounded on and its associate $$X'(\mathbb . The algebra $$C_X(\mathbf{\dot{\mathbb {R}}})$$ of continuous Fourier multipliers defined as closure set functions variation $$\mathbf{\dot{\mathbb {R}}}=\mathbb {R}\cup \{\infty \}$$ with respect to multiplier norm. It was proved by C. Ferna...

We consider reflexive Bergman spaces Ap(Ω) on polygonal domains Ω of the complex plane. With some restrictions to angles boundary Ω, we show that boundedness Toeplitz operator Tg:Ap(Ω)→Ap(Ω) with a positive symbol g is equivalent Berezin transform or times area measure being Carleson measure. The result also formulated for more general simply connected domains. main technical tool new weighted ...

In this paper, we present a general framework for the study of interval type-2 rough fuzzy sets by using both constructive and axiomatic approaches. First, several concepts and properties of interval type-2 fuzzy sets are introduced. Then, a pair of lower and upper interval type-2 rough fuzzy approximation operators with respect to a crisp binary relation is proposed. Classical representations ...

Let E(·) : R → B(X) be the spectral decomposition of a trigonometrically well-bounded operator U acting on the arbitrary Banach space X, and suppose that the bounded function φ : T → C has the property that for each z ∈ T, the spectral integral R [0,2π] φ(e)dEz(t) exists, where Ez(·) denotes the spectral decomposition of the (necessarily) trigonometrically well-bounded operator (zU). We show th...

The present paper focuses on the Mandarin Intransitive keflexive Verbs. These verbs, such as zi-sha 'to commit suicide', and zi fen 'to burn oneself, are formed with a reflexive morpheme zi-'self' and a root verb. Take the verb zi-sha 'to commit suicide' for example, the reflexive morpheme contributes the reflexive meaning and the root verb sha 'to kill' contributes the meaning`to kill'; hence,...

We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into a reflexive Banach space with an unconditional basis. This solves several long standing open problems. In particular, it yields that a quotient...

Most walking assist systems reported are not ready for using in real-world environment; where there are frequent perturbations .Our ultimate goal is to realize artificial reflexes to real-world walking support systems. This goal needs both qualitative and quantitative understanding of human reflexive mechanism. In this study we built a human walking simulator consisting of a Central Pattern Gen...