Banach Limit and Applications

ISBN-13: 9780367698652 / Angielski / Twarda / 2021 / 216 str.

Gokulananda Das; Sudarsan Nanda

Opis

The concept of Banach Limit is a generalization of the concept of limit evolved as an application of Hahn-Banach Theorem to the space of bounded sequences. This monograph will help the researchers to find almost all the results in the field in one go including some unpublished results of the authors.

Spis treści

Introduction. Hahn-Banach Theorem and Generalizations. Banach and Generalized Limits. Almost Convergence Core Theorems. Absolute Almost Convergence. The space. Strong Almost Convergence. Functional Banach Limits. Matrix Transformations. Absolutely Almost and Strongly Almost Summable Sequences. Bibliography. Index.