Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

Lipschitz p-Approximate Schauder Frames

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Authors: K. MAHESH KRISHNA AND P. SAM JOHNSON

DOI: 10.46793/KgJMat2602.217K

Abstract:

With the aim of representing subsets of Banach spaces as an infinite series using Lipschitz functions, we study a variant of metric frames which we call Lipschitz p-approximate Schauder frames (Lipschitz p-ASFs). We characterize Lipschitz p-ASFs and their duals completely using the canonical Schauder basis for classical sequence spaces. Similarity of Lipschitz p-ASF is introduced and characterized.

Keywords:

Frame, Lipschitz map, bi-Lipschitz map.

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