On a certain class of $M\sb{1}$-spaces

A Certain Class of Character Module Homomorphisms on Normed Algebras

For two normed algebras $A$ and $B$ with the character space   $bigtriangleup(B)neq emptyset$  and a left $B-$module $X,$  a certain class of bounded linear maps from $A$ into $X$ is introduced. We set $CMH_B(A, X)$  as the set of all non-zero $B-$character module homomorphisms from $A$ into $X$. In the case where $bigtriangleup(B)=lbrace varphirbrace$ then $CMH_B(A, X)bigcup lbrace 0rbrace$ is...

A Class of compact operators on homogeneous spaces

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

A New Class of Banach Sequence Spaces

A Characterization of Certain Conformally Euclidean Spaces of Class One

1. In this paper we will examine the metrics of conformally Euclidean spaces Cn (n^A) having the following two properties: (1) They are locally and isometrically imbeddable in Euclidean space of one higher dimension (£n+i), i.e. they are of class one. (2) With respect to a conformai coordinate system, the matrix of the second fundamental tensor [èy] has diagonal form. The condition for class on...

A Brief Determination of Certain Class of Power Semicircle Distribution

In this paper, we give a new and direct proof for the recently proved conjecture raised in Soltani and Roozegar (2012). The conjecture can be proved in a few lines via the integral representation of the Gauss-hypergeometric function unlike the long proof in Roozegar and Soltani (2013).