New properties of the mapping obtained by p-frames on Banach spaces

Document Type: Research Paper

Authors

1 Faculty of Science, Urmia University of Technology, Urmia, Iran.

2 University of Maragheh

10.22072/wala.2019.108140.1225

Abstract

P-frames on Banach spaces are a straight extension of frames on Hilbert spaces. Unlike the other kinds of frames, the mapping of p-frames, because of the nonlinearity of the duality mapping, has lost its linearity and acts as a nonlinear mapping from Banach space X to its dual. In this paper, by considering conditions on p-frames, properties of the p-frame mapping like weakly continuous, monotone and coercive are investigated. Also, by the composition of synthesis operator U with the adjoint of the operator, the properties of accretive and isometric of the operator are investigated.

Keywords