Journal of Formalized Mathematics
Volume 15, 2003
University of Bialystok
Copyright (c) 2003 Association of Mizar Users

## Banach Space of Absolute Summable Real Sequences

Yasumasa Suzuki
2-14-18 Take, Yokosuka-shi, Kanagawa, Japan
Noboru Endou
Gifu National College of Technology
Yasunari Shidama
Shinshu University, Nagano

### Summary.

A continuation of [5]. As the example of real norm spaces, we introduce the arithmetic addition and multiplication in the set of absolute summable real sequences and introduce the norm also. This set has the structure of the Banach space.

The terminology and notation used in this paper have been introduced in the following articles [13] [17] [4] [1] [14] [7] [2] [3] [18] [16] [10] [15] [11] [9] [8] [12] [6]

#### Contents (PDF format)

1. l1\_Space:The Space of Absolute Summable Real Sequences
2. l1\_Space is Banach

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