Duality of new sequence spaces

A New Class of Banach Sequence Spaces

Duality, Haar Programs, and Finite Sequence Spaces.

THEOREM 0. Let En -En X be a homogeneous line bundle over a C-space of complex dimension n. Suppose that the first Chern class ci(Eo) is given by a negative semi-definite quadratic form of index k < n. Then HI(X, E*) = 0 for q < k. (If k = n, we have again Kodaira's theorem.) To apply Theorem 0 to C-spaces, a fairly extensive study of the differential geometry of homogeneous vector bundles is u...

a new class of banach sequence spaces

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On some new sequence spaces

In this paper we introduce and study some new sequence spaces.

On a new G-frame and duality

We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality  for some kinds of g-frames. Finally, we illustrate an example which provides a  suitable translation from discrete frames to Sun's g-frames.