Invertible almost invariant sets The rst problem is in our treatment of almost invariant sets which are invertible (see De nition 2.12). Before discussing the details, we need to brie y recall the construction in chapter 3. We have a nitely generated group G with nitely generated subgroups H1; : : : ; Hn and, for 1 i n, we have a nontrivial Hi{almost invariant subset Xi of G. Recall that E deno...

The various dimensions of the intersections of the graph-directed sets {Ki} l i=1 ⊂ R with (n − m)-planes V + ai (ai ∈ V ) were investigated for H m almost all parameters ai ∈ V ⊥ satisfying (V + ai) ∩ Ki 6= ∅, where V ⊂ R is a fixed (n − m)-dimensional subspace and V ⊥ its orthogonal complement. We obtain the typical value of dimensions of sections for typical directions V and also provide a w...

We study almost automorphic solutions of recurrence relations with values in a Banach space V for quasilinear almost automorphic difference systems. Its linear part is a constant bounded linear operator Λ defined on V satisfying an exponential dichotomy. We study the existence of almost automorphic solutions of the non-homogeneous linear difference equation and to quasilinear difference equatio...

almost multiplier is rather a new concept in the theory of almost functions. in thispaper we discuss on the boundedness of almost multipliers on some special banach algebras,namely stable algebras. we also dene an adjoint and extension for almost multiplier.

center. She was attended by a physician who, upon confirmation that the patient was unconscious and had an almost imperceptible pulse, performed a precordial thump. Subsequently, the patient recovered and was sent to the hospital. ICD interrogation showed that she initially had an episode of atrial fibrillation (A) that was detected Life-Threatening Implantable Defibrillator-Induced Proarrhythm...

The existence of approximate fixed points and approximate endpoints of the multivalued almost I-contractions is established. We also develop quantitative estimates of the sets of approximate fixed points and approximate endpoints for multivalued almost I-contractions. The proved results unify and improve recent results of Amini-Harandi 2010 , M. Berinde and V. Berinde 2007 , Ćirić 2009 , M. Păc...

the aim of this paper is to generalize the‎‎notion of pseudo-almost valuation domains to arbitrary‎ ‎commutative rings‎. ‎it is shown that the classes of chained rings‎ ‎and pseudo-valuation rings are properly contained in the class of‎ ‎pseudo-almost valuation rings; also the class of pseudo-almost‎ ‎valuation rings is properly contained in the class of quasi-local‎ ‎rings with linearly ordere...

In this paper we define a new type of rings ”almost powerhermitian rings” (a generalization of almost hermitian rings) and establish several sufficient conditions over a ring R such that, every regular matrix admits a diagonal power-reduction.

A geodesic in a graph G is a shortest path between two vertices of G. For a specific function e(n) of n, we define an almost geodesic cycle C in G to be a cycle in which for every two vertices u and v in C, the distance dG(u, v) is at least dC(u, v) − e(n). Let ω(n) be any function tending to infinity with n. We consider a random d-regular graph on n vertices. We show that almost all pairs of v...