1. CMB 2014 (vol 58 pp. 188)
2. CMB 2011 (vol 55 pp. 172)
 Rhoades, B. E.

Hausdorff Prime Matrices
In this paper we give the form of every multiplicative Hausdorff
prime matrix, thus answering a longstanding open question.
Keywords:Hausdorff prime matrices Category:40G05 

3. CMB 2007 (vol 50 pp. 547)
 Iakovlev, Serguei

Inverse Laplace Transforms Encountered in Hyperbolic Problems of NonStationary FluidStructure Interaction
The paper offers a study of the inverse Laplace
transforms of the functions $I_n(rs)\{sI_n^{'}(s)\}^{1}$ where
$I_n$ is the modified Bessel function of the first kind and $r$ is
a parameter. The present study is a continuation of the author's
previous work %[\textit{Canadian Mathematical Bulletin} 45]
on the
singular behavior of the special case of the functions in
question, $r$=1. The general case of $r \in [0,1]$ is addressed,
and it is shown that the inverse Laplace transforms for such $r$
exhibit significantly more complex behavior than their
predecessors, even though they still only have two different types
of points of discontinuity: singularities and finite
discontinuities. The functions studied originate from
nonstationary fluidstructure interaction, and as such are of
interest to researchers working in the area.
Categories:44A10, 44A20, 33C10, 40A30, 74F10, 76Q05 

4. CMB 2005 (vol 48 pp. 175)
5. CMB 2000 (vol 43 pp. 406)
 Borwein, David

Weighted Mean Operators on $l_p$
The weighted mean matrix $M_a$ is the triangular matrix $\{a_k/A_n\}$,
where $a_n > 0$ and $A_n := a_1 + a_2 + \cdots + a_n$. It is proved
that, subject to $n^c a_n$ being eventually monotonic for each
constant $c$ and to the existence of $\alpha := \lim
\frac{A_n}{na_n}$, $M_a \in B(l_p)$ for $1 < p < \infty$ if and only
if $\alpha < p$.
Keywords:weighted means, operators on $l_p$, norm estimates Categories:47B37, 47A30, 40G05 

6. CMB 1999 (vol 42 pp. 184)
 Fiorito, Giovanni

On Arithmetic Means of Sequences Generated by a Periodic Function
In this paper we prove the convergence of arithmetic means of
sequences generated by a periodic function $\varphi (x) $, moreover
if $\varphi (x) $ satisfies a suitable symmetry condition, we prove
that their limit is $\varphi (0) $. Applications of previous
results are given to study other means of sequences and the
behaviour of a class of recursive series.
Category:40A05 

7. CMB 1998 (vol 41 pp. 10)
 Borwein, David

Simple conditions for matrices to be bounded operators on $l_p$
The two theorems proved yield simple yet reasonably
general conditions for triangular matrices to be bounded
operators on $l_p$. The theorems are applied to N\"orlund and
weighted mean matrices.
Keywords:Triangular matrices, NÃ¶rlund matrices, weighted means, operators, on $l_p$. Categories:47B37, 47A30, 40G05 

8. CMB 1997 (vol 40 pp. 498)
 Selvaraj, Chikkanna; Selvaraj, Suguna

Matrix transformations based on Dirichlet convolution
This paper is a study of summability methods that are based
on Dirichlet convolution. If $f(n)$ is a function on positive integers
and $x$ is a sequence such that $\lim_{n\to \infty} \sum_{k\le n}
{1\over k}(f\ast x)(k) =L$, then $x$ is said to be {\it $A_f$summable\/}
to $L$. The necessary and sufficient condition for the matrix $A_f$ to
preserve bounded variation of sequences is established. Also, the
matrix $A_f$ is investigated as $\ell  \ell$ and $GG$ mappings. The
strength of the $A_f$matrix is also discussed.
Categories:11A25, 40A05, 40C05, 40D05 
