in this note we characterize the compact weighted frobenius-perron operator $p$ on $l^1(sigma)$ and determine their spectra. we also show that every weakly compact weighted frobenius-perron operator on $l^1(sigma)$ is compact.

Abstract This article is concerned with uniform $$C^{1,\alpha }$$ C 1 , ? and $$C^{1,1}$$ estimates in periodic homogenization of fully nonlinear elliptic equations. The analysis based on the compactness method, w...

We study interior operators and interior structures in a fuzzy setting.We investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.

A flexible-joint robot manipulator is a complex system because it is nonlinear, multivariable, highly coupled along with joint flexibility and uncertainty. To overcome flexibility, several methods have been proposed based on flexible model. This paper presents a novel method for controlling flexible-joint robot manipulators. A novel control law is presented by compensating flexibility to form a...

We analyze the singular spectrum of selfadjoint operators which arise from pasting a finite number of boundary relations with a standard interface condition. A model example for this situation is a Schrödinger operator on a star-shaped graph with continuity and Kirchhoff conditions at the interior vertex. We compute the multiplicity of the singular spectrum in terms of the spectral measures of ...

where ρ is a defining function for Ω, = ∂̄∂̄∗ + ∂̄∗∂̄, u, f are (0, 1) forms, and denotes the interior product of forms. Under the stated hypotheses on Ω, this problem is uniquely solvable for every f ∈ L(Ω). The Neumann operator N , mapping f to the solution u, is continuous on L(Ω). The Bergman projection B is the orthogonal projection of L(Ω) onto the closed subspace of L holomorphic functions o...

Given a bounded measurable function σ on R n , we let T be the operator obtained by multiplication Fourier transform . Let 0 < s 1 ≤ 2 ⋯ and ψ Schwartz real line whose ˆ is supported in [ − / ] ∪ which satisfies ∑ j ∈ Z ( ξ ) = for all ≠ In this work provide sharp form of Marcinkiewicz multiplier theorem L p finding an almost optimal space with property that, if … ↦ ∏ i I ∂ belongs to it unifor...

Introduction. For a closed, densely defined linear operator T in a Hubert space H, we define the essential spectrum ess sp T as the complement in C of the set of X for which T X is a Fredholm operator (with possibly nonzero index). Recall (cf. Wolf [7] ) that X G ess sp T if and only if either T — X or 7* — X has a singular sequence, i.e. a sequence ukGH with \\uk\\ = 1 for all k, (T X)uk —> 0 ...