• فهرست مقالات Exact fusion frame

      • دسترسی آزاد مقاله

        1 - New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
        F. Aboutorabi Goudarzi M. S. Asgari
        In this paper we investigate a new notion of bases in Hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introducea new definition of fusion dual sequence associated with a fusion basis and show that theoperators چکیده کامل
        In this paper we investigate a new notion of bases in Hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introducea new definition of fusion dual sequence associated with a fusion basis and show that theoperators of a fusion dual sequence are continuous projections. Next we define the fusionbiorthogonal sequence, Bessel fusion basis, Hilbert fusion basis and obtain some characterizations of them. we study orthonormal fusion systems and Riesz fusion bases for Hilbertspaces. we consider the stability of fusion bases under small perturbations. We also generalized a result of Paley-Wiener [16] to the situation of fusion basis. پرونده مقاله
      • دسترسی آزاد مقاله

        2 - FUSION FRAMES IN HILBERT SPACES
        M. S. Asgari S. Karimizad
        Fusion frames are an extension to frames that provide a framework for applications and providing efficient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame.
        Fusion frames are an extension to frames that provide a framework for applications and providing efficient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame. پرونده مقاله