Kunszenti-Kovács, Dávid, ELTE TTK, Institute of Mathematics and Numerical Analysis and Large Networks Research Group, Hungarian Academy of Sciences, 1117 Budapest, Pázmány P. sétány 1/C, Hungary (daku@fa.uni-tuebingen.de).
Almost weak polynomial stability of operators, pp. 901-913.
ABSTRACT. We investigate whether almost weak stability of an operator T on a Banach space X implies its almost weak polynomial stability. We show, using a modified version of the van der Corput Lemma, that if X is a Hilbert space and T a contraction, then the implication holds. On the other hand, based on a TDS arising from a two dimensional ODE, we give an explicit example of a contraction on a C₀ space that is almost weakly stable, but its appropriate polynomial powers fail to converge weakly to zero along a subsequence of density 1. Finally we provide an application to convergence of polynomial multiple ergodic averages.

Banjade, Debendra P., Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, AL 35487 (dpbanjade@crimson.ua.edu) and Trent, Tavan T., Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, AL 35487 (ttrent@as.ua.edu).
Wolff's problem of ideals in the multiplier algebra on weighted Dirichlet space, pp. 915-932.
ABSTRACT. Wolff proved a theorem on ideal membership in the algebra of bounded analytic functions on the unit disk. We establish an analogous version for the multiplier algebra on weighted Dirichlet spaces.

McCann, Shawn, University of Regina, Regina, SK, S4S 0A2 (mccann1s@uregina.ca).
C*-algebras associated with topological group quivers II: K-groups , pp. 933-964.
ABSTRACT. Topological quivers generalize the notion of directed graphs in which the sets of vertices and edges are locally compact Hausdorff spaces. Associated to a topological quiver Q is a C*-correspondence, and in turn, a Cuntz-Pimsner algebra C*(Q). Given Γ a locally compact group and endomorphisms α and β of Γ, one may construct a topological quiver Q_{α, β}(Γ) with vertex set Γ, and edge set E_{α, β}(Γ)={(x, y) in Γ x Γ where α(y)=β(x)}. In a previous paper, the author examined the Cuntz-Pimsner algebra O_{α, β}(Γ)= C*(Q_{α, β}(Γ)) and found generators (and their relations) of O_{α, β}(Γ). In this paper, the author uses this information to create a six term exact sequence in order to calculate the K-groups of O_{α, β}(Γ) and in particular, those K-groups resulting from choosing Γ to be the d-torus with endomorphisms α and β as integral matrices with non-zero determinant.

 Changguo Wei, School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, P.R. China (weicgqd@163.com).
On the classification of certain unital extensions of C*-algebras, pp. 965-991.
ABSTRACT. We pursue the classification of unital essential extensions up to unitary equivalence or isomorphism. We characterize the six-term exact sequences with base points of the unital extensions which are weakly unitarily equivalent and give a necessary and sufficient condition for their six-term exact sequences with base points being congruent. Using these results, we prove several UCTs for unital extensions which generalizes the UCT of Brown and Dadarlat. As an application, we give a generalization of the classic BDF-theory and classify certain classes of unital full extensions up to unitary.

Hou, Chunjuan, Huashang College, Guangdong University of Business Studies, Guangzhou,  511300,  China (houchunjuanhao@163.com), Hu, Shouchuan, Department of Mathematics, Missouri State University, Springfield, MO 65804 (shu@missouristate.edu), and Papageorgiou, Nikolas S., Department of  Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece (npapg@math.ntua.gr).
Positive solutions for parametric nonlinear neumann problems with competing nonlinearities, pp. 993-1019.
ABSTRACT. We consider a parametric nonlinear Neumann problem driven by the p-Laplacian and with a reaction exhibiting the competing effects of a concave (p-sublinear) and of a convex (p-superlinear) term.  Using critical point theory together with truncation and comparison techniques, we prove a bifurcation type theorem describing the set of positive solutions as the parameter varies.

Banič, Iztok, Faculty of Natural Sciences and Mathematics, University of Maribor, 2000 Maribor, Slovenia (iztok.banic@uni-mb.si), Črepnjak, Matevž, Faculty of Natural Sciences and Mathematics, University of Maribor, 2000 Maribor, Slovenia (matevz.crepnjak@um.si), Erceg, Goran, Faculty of Natural Sciences and Mathematics, University of Split, 21000 Split, Croatia (gorerc@pmfst.hr), Merhar, Matej, Faculty of Natural Sciences and Mathematics, University of Maribor, 2000 Maribor, Slovenia (matej.merhar@uni-mb.si), and Milutinović, Uroš, Faculty of Natural Sciences and Mathematics, University of Maribor, 2000 Maribor, Slovenia (uros.milutinovic@uni-mb.si).
Inducing functions between inverse limits with upper semicontinuous bonding functions, pp. 1021-1037.
ABSTRACT. In this paper we introduce the category CU in which the compact metric spaces are objects and upper semicontinuous functions from X to 2^Y are morphisms from X to Y. We also introduce the category ICU of inverse sequences in CU. Then we investigate the induced functions between inverse limits of compact metric spaces with upper semicontinuous bonding functions. We provide criteria for their existence and prove that under suitable assumptions they have surjective graphs. We also show that taking such inverse limits is very close to being a functor (but is not a functor) from ICU to CU, if morphisms are mapped to induced functions. At the end of the paper we give a useful application of the mentioned results.

Van Nall, Department of Mathematics and Computer Science, University of Richmond, Richmond, VA 23173 (vnall@richmond.edu).
More continua which are not the inverse limit with a closed subset of a unit square, pp. 1039-1050.
ABSTRACT. There are nice characterizations of continua that are homeomorphic to an inverse limit with a continuous function from [0,1] to [0,1]. Continua that are homeomorphic to an inverse limits with a single upper semi-continuous set valued function from [0,1] into the closed subsets of [0,1] have not been characterized, and so, in order to learn more about them, we add to the list of continua which cannot be obtained as such an inverse limit.

Dirk Hofmann, CIDMA -- Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal (dirk@ua.pt) and Gavin J. Seal, Mathematics Institute for Geometry and Applications, Ecole Polytechnique Federale de Lausanne, 1015 Lausanne, Switzerland (gavin.seal@fastmail.fm).
Exponentiable approach spaces, pp. 1051-1062.
ABSTRACT. In this note we present a characterisation of exponentiable approach spaces in terms of ultrafilter convergence.

Michalik, Daria, Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszynski University, Woycickiego 1/3, 01-938 Warsaw, Poland (d.michalik@uksw.edu.pl).
Embeddings into the product of generalized Sierpiński curves admitting extensions of maps, pp.1079-1086.
ABSTRACT. For each cardinal number τ we can construct a 1-dimensional space Σ(τ) - called generalization of Sierpiński curve of weight τ. We prove in this paper that for a metrizable space X and a family {f_i}_{i ∈ N} of mappings of X into itself the set of all embeddings h : X → Σ(τ)^ω such that dim Cl(h(X)) ≤ dim X and all functions hf_ih^-1 are extendable to mappings f_i^* : Cl(h(X)) → Cl(h(X)) is residual in C(X,Σ(τ)^ω).

Daniel, D,. Lamar University, Beaumont, Texas 77710 (dale.daniel@lamar.edu) and Tuncali, M., Nipissing University, North Bay, Ontario P1B 8L7 (muratt@nipissingu.ca).
Embeddings of non-metric products in images of ordered compacta, pp. 1087-1096.
ABSTRACT. We generalize a construction of A. J. Ward to build continuous images of ordered compacta that contain a non-metrizable product. Such spaces have a relatively restricted structure. As a result, one may express in somewhat explicit form a mapping of an ordered compactum onto an appropriate subspace of a compactum containing such a non-metric product.

Er-Guang Yang, School of Mathematics & Physics, Anhui University of Technology, Maanshan 243002, P.R. China (egyang@126.com).
Properties defined with semi-continuous functions and some related spaces, pp. 1097-1106.
ABSTRACT. The notions of properties (UL)_m^wl, (UL)_m^K and (UL)_m are introduced to generalize the notion of property (USC)_m introduced by Ohta and Sakai. It is shown that spaces having property (UL)_m^wl (resp. (UL)_m^K, (UL)_m) coincide with countably paracompact (resp. countably mesocompact, countably metacompact) spaces. As applications, some insertion theorems of countably paracompact spaces and countably mesocompact spaces are obtained.