Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990 Association of Mizar Users

## Real Functions Spaces

Henryk Oryszczyszyn
Warsaw University, Bialystok
Krzysztof Prazmowski
Warsaw University, Bialystok

### Summary.

This abstract contains a construction of the domain of functions defined in an arbitrary nonempty set, with values being real numbers. In every such set of functions we introduce several algebraic operations, which yield in this set the structures of a real linear space, of a ring, and of a real algebra. Formal definitions of such concepts are given.

Supported by RPBP.III-24.C2.

#### MML Identifier: FUNCSDOM

The terminology and notation used in this paper have been introduced in the following articles [9] [4] [13] [11] [14] [2] [3] [1] [8] [7] [12] [5] [6] [10]

Contents (PDF format)

#### Bibliography

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