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Upper bounds on the solutions to n = p+m^2 5 Apr 2012 | 06:30 am
ardy and Littlewood conjectured that every large integer $n$ that is not a square is the sum of a prime and a square. They believed that the number $mathcal{R}(n)$ of such representations for $n = p+m...
G-frames and Hilbert-Schmidt operators 15 Dec 2011 | 09:30 am
In this paper we introduce and study Besselian $g$-frames. We show that the kernel of associated synthesis operator for a Besselian $g$-frame is finite dimensional. We also introduce $alpha$-dual of a...
Banach module valued separating maps and automatic continuity 15 Dec 2011 | 09:30 am
For two algebras $A$ and $B$, a linear map $T:A longrightarrow B$ is called separating, if $xcdot y=0$ implies $Txcdot Ty=0$ for all $x,yin A$. The general form and the automatic continuity of separat...
Connections between C(X) and C(Y), where Y is a subspace of X 15 Dec 2011 | 09:30 am
In this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $C(X)$ and the same of $C(Y)$, for some special subset $Y$ of $X$. For instance, if ...
Generalized $sigma$-derivation on Banach algebras 15 Dec 2011 | 09:30 am
Let $mathcal{A}$ be a Banach algebra and $mathcal{M}$ be a Banach $mathcal{A}$-bimodule. We say that a linear mapping $delta:mathcal{A} rightarrow mathcal{M}$ is a generalized $sigma$-derivation whene...
Proving the efficiency of pro-2-groups of fixed co-classes 15 Dec 2011 | 09:30 am
Among the six classes of pro-2-groups of finite and fixed co-classes and trivial Schur Multiplicator which studied by Abdolzadeh and Eick in 2009, there are two classes $$S_5=langle a,bmid [b,a^2]=1, ...
Classical quasi-primary submodules 15 Dec 2011 | 09:30 am
In this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. Then, we investigate decomposition and minimal decomposition i...
p-$Lambda$-bounded variation 15 Dec 2011 | 09:30 am
A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclu...
Ranks of modules relative to a torsion theory 15 Dec 2011 | 09:30 am
Relative to a hereditary torsion theory $tau$ we introduce a dimension for a module $M$, called {em $tau$-rank of} $M$, which coincides with the reduced rank of $M$ whenever $tau$ is the Goldie torsio...
On the k-nullity foliations in Finsler geometry 15 Dec 2011 | 09:30 am
Here, a Finsler manifold $(M,F)$ is considered with corresponding curvature tensor, regarded as $2$-forms on the bundle of non-zero tangent vectors. Certain subspaces of the tangent spaces of $M$ dete...
