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Abstract: The Mizar Mathematical Library (MML) is a rich database of formalized mathematical proofs (see this http URL). Owing to its large size (it contains more than 1100 "articles" summing to nearl...
There are several equivalent ways to define continuous harmonic functions H(K) on a compact set K in Rn. One may let H(K) be the unform closures of all functions in C(K) which are restrictions of harm...
Given a Lipschitz domain in RN and a nonnegative potential V in such that V (x) d(x.
We provide a new and elegant approach to relative quasi-convexity for relatively hyperbolic groups in the context of Bowditch’s approach to relative hyperbolicity using cocompact actions on fine hy-pe...
Given a grading 􀀀 : A = Lg2G Ag on a nonassociative algebra A by an abelian group G.
We study Esteves’s fine compactified Jacobians for nodal curves. We give a proof of the fact that, for a one-parameter regular local smoothing of a nodal curve X.
We examine the spectra and fine spectra of lacunary matrices over the sequence spaces c0;c and `¥. AMS Subject Classification: Primary 47A10; Secondary 47B37.
ON THE FINE SPECTRUM OF THE GENERALIZED DIFFERENCE OPERATOR Dv OVER THE SEQUENCE。
In 1975, Wenger [3] determined the fine spectra of Cesàro operator C1 on c, the space of convergent sequences. In [6], the spectrum of the Rhaly operators on c0 and c, under the assumption that {\disp...
In [6], Rhaly computed the spectrum of p-Cesaro operator on the Hilbert space l2 = {x = (xk): Sk IXkl2 < infinite}. In the present paper, we study the spectrum and fine spectrum for p-Cesáro operators...

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