Quaternionic inverse Fourier Transforms on LCA Groups
In this paper the inverse of the quaternionic Fourier transform on locally compact abelian groups is verified.
math.FA↗
arXiv subjects
Mohammad Janfada
Publications and source records attributed to Mohammad Janfada.
Frames for operators in Banach spaces via semi-inner products
In this paper, we propose to define the concept of family of local atoms and then we generalize this concept to the atomic system for operator in Banach spaces by using semi-inner product. We also give a characterization of atomic systems leading to obtain new frames. In addition, a reconstruction formula is obtain. Next, some new results are established. The characterization of atomic systems allows us to state some results for sampling theory in semi-inner product reproducing kernel Banach spaces. Finally, having used frame operator in Banach spaces, new perturbation results are established.
math.FA↗
*-Frames for operators on Hilbert modules
K-frames were introduced by L. Gavruta to study atomic systems on Hilbert spaces. Recently some generalizations of this concept are introduced and some of its difference with ordinary frames are studied. In this paper *-K-frames are introduced and some properties of this generalization of K-frames are studied. After proving some characterizations of *-K-frames, direct sum and tensor product of *-K-frames are considered and finally some perturbation results are established.
math.OA↗
On an equivalence of the topology of algebraic cone metric spaces and metric spaces
In this paper, we prove that the topology induced by algebraic cone metric coincides with the topology induced by the metric obtained via a nonlinear scalarization function, i.e. any algebraic cone metric space is metrizable. Furthermore, the notion of algebraic cone normed space is introduced and also normability of the topology of this space is proved.
math.FA↗
Modular cone metric spaces
In this paper the notion of modular cone metric space is introduced and some properties of such spaces are investigated. Also we define convex modular cone metric which takes values in CR(Y) where Y is a compact Hausdorff space. Then a fixed point theorem is proved for contractions in these spaces. Furthermore, we make a remark on paper [9] and it will be proved that their fixed point result in modular metric spaces is not true.
math.FA↗
C-Semi- Inner Product Spaces
In this paper we introduce a generalization of Hilbert C-modules which are pre- Finsler module namely C-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then study bounded linear operators on C-semi-inner product spaces.
math.FA↗