Correspondence should be addressed to E. Savaş, [email protected] Received 23 June 2010; Revised 3 September 2010; Accepted 15 September 2010 Academic Editor: J. Szabados Copyright q 2010 E. Savaş. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work ...

The theorems of Kozlov and Sullivan characterize Gibbs measures as with positive continuous specifications. More precisely, showed that every specification on symbolic configurations the lattice is generated by a norm-summable interaction. shift-invariant interaction satisfying weaker condition variation-summability. These results were proven in 1970s. An open question since time whether Kozlov...

Starting with a spectral triple on unital C⁎-algebra A an action of discrete group G, if the is uniformly bounded (in Lipschitz sense) reduced crossed product A⋊rG constructed in [23]. The main instrument Kasparov external product. We note that this construction still works for twisted products when appropriate sense. Under suitable assumptions we discuss some basic properties resulting triples...

Abstract The notion of statistical convergence was extended to $\mathfrak{I}$ I -convergence by (Kostyrko et al. in Real Anal. Exch. 26(2):669–686, 2000). In this paper we use such technique and introduce the statistically $\mathfrak{A}^{\mathfrak{I}}$ A -Cauchy $\mathf...

In this paper the concept of strongly (λM )p − Cesáro summability of a sequence of fuzzy numbers and strongly λM− statistically convergent sequences of fuzzy numbers is introduced. Keywords—Fuzzy numbers, statistical convergence, Orlicz space, entire sequence.

A general integral formula for the spectral flow of a path of unbounded selfadjoint Fredholm operators subject to certain summability conditions is derived from the interpretation of the spectral flow as a winding number.

In this paper we define double weighted generator sequence and prove some Tauberian theorems under which the convergence of bounded double sequences follows from its summability by weighted means. Mathematics Subject Classification 2010: 40C05, 40E05.