Journal of Formalized Mathematics
Volume 16, 2004
University of Bialystok
Copyright (c) 2004 Association of Mizar Users

Banach Space of Bounded Real Sequences


Yasumasa Suzuki
2-14-18 Take, Yokosuka City, Kanagawa Pref., Japan

Summary.

We introduce the arithmetic addition and multiplication in the set of bounded real sequences and introduce the norm also. This set has the structure of the Banach space.

MML Identifier: RSSPACE4

The terminology and notation used in this paper have been introduced in the following articles [21] [6] [27] [29] [28] [15] [20] [3] [1] [2] [24] [23] [9] [4] [5] [7] [26] [22] [16] [17] [13] [11] [12] [10] [25] [14] [8] [19] [18]

Contents (PDF format)

  1. The Banach Space of Bounded Real Sequences
  2. The Banach Space of Bounded Functions

Bibliography

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Received January 6, 2004


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