Banach Space of Bounded Linear Operators

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

Banach Space of Bounded Linear Operators

Yasunari Shidama: Shinshu University, Nagano

Summary.

On this article, the basic properties of linear spaces which are defined by the set of all linear operators from one linear space to another are described. Especially, the Banach space is introduced. This is defined by the set of all bounded linear operators.

MML Identifier: LOPBAN_1

The terminology and notation used in this paper have been introduced in the following articles [24] [6] [23] [31] [25] [33] [32] [4] [5] [16] [22] [21] [3] [1] [2] [28] [27] [9] [7] [30] [14] [26] [17] [29] [18] [19] [8] [20] [13] [11] [12] [10] [15]

Contents (PDF format)

Real Vector Space of Operators
Real Vector Space of Linear Operators
Real Normed Linear Space of Bounded Linear Operators
Real Banach Space of Bounded Linear Operators

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Received December 22, 2003

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