On sequence spaces for Fréchet frames

Abstract

We analyze the construction of a sequence space $\tilde{\Theta }$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\tilde{\Theta }$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fréchet space $X_F={\cap }_{s\in {\mathbb{N}}_0}{X}_s$, where $\{X_s{\}}_{s\in {\mathbb{N}}_0}$ is a sequence of Banach spaces.

References in corpus (1)

• Series expansions in Fréchet spaces and their duals; construction of Fréchet frames

Cited by in corpus (1)

• Fréchet frames, general definition and expansions