Series expansions in Fréchet spaces and their duals, construction of Fréchet frames Original Research Article

Frames for Fréchet spaces image with respect to Fréchet sequence spaces image are studied, and conditions implying series expansions in image and image are determined. If image is a image-frame for image and image (resp. image) is given, we construct a sequence image, image, image, (resp. image, image, image), so that image is a pre-image-frame or image-frame for image with respect to image under different assumptions given on image, image and image (resp. image).