Volume 12, 2000

University of Bialystok

Copyright (c) 2000 Association of Mizar Users

**Anna Justyna Milewska**- University of Bialystok

- This article contains the Hahn Banach theorem in the vector space over the field of complex numbers.

- Preliminaries
- Some Facts on the Field of Complex Numbers
- Functionals of Vector Space
- The Vector Space of Linear Functionals
- Semi Norm of Vector Space
- The Hahn Banach Theorem

- [1]
Czeslaw Bylinski.
Binary operations.
*Journal of Formalized Mathematics*, 1, 1989. - [2]
Czeslaw Bylinski.
Functions and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989. - [3]
Czeslaw Bylinski.
Functions from a set to a set.
*Journal of Formalized Mathematics*, 1, 1989. - [4]
Czeslaw Bylinski.
Some basic properties of sets.
*Journal of Formalized Mathematics*, 1, 1989. - [5]
Czeslaw Bylinski.
The complex numbers.
*Journal of Formalized Mathematics*, 2, 1990. - [6]
Library Committee.
Introduction to arithmetic.
*Journal of Formalized Mathematics*, Addenda, 2003. - [7]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
*Journal of Formalized Mathematics*, 1, 1989. - [8]
Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski.
Abelian groups, fields and vector spaces.
*Journal of Formalized Mathematics*, 1, 1989. - [9]
Anna Justyna Milewska.
The field of complex numbers.
*Journal of Formalized Mathematics*, 12, 2000. - [10]
Bogdan Nowak and Andrzej Trybulec.
Hahn-Banach theorem.
*Journal of Formalized Mathematics*, 5, 1993. - [11]
Beata Padlewska and Agata Darmochwal.
Topological spaces and continuous functions.
*Journal of Formalized Mathematics*, 1, 1989. - [12]
Jan Popiolek.
Some properties of functions modul and signum.
*Journal of Formalized Mathematics*, 1, 1989. - [13]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*, Axiomatics, 1989. - [14]
Andrzej Trybulec.
A Borsuk theorem on homotopy types.
*Journal of Formalized Mathematics*, 3, 1991. - [15]
Andrzej Trybulec.
Natural transformations. Discrete categories.
*Journal of Formalized Mathematics*, 3, 1991. - [16]
Andrzej Trybulec.
Subsets of real numbers.
*Journal of Formalized Mathematics*, Addenda, 2003. - [17]
Wojciech A. Trybulec.
Subspaces and cosets of subspaces in real linear space.
*Journal of Formalized Mathematics*, 1, 1989. - [18]
Wojciech A. Trybulec.
Vectors in real linear space.
*Journal of Formalized Mathematics*, 1, 1989. - [19]
Wojciech A. Trybulec.
Subspaces and cosets of subspaces in vector space.
*Journal of Formalized Mathematics*, 2, 1990. - [20]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [21]
Edmund Woronowicz.
Relations defined on sets.
*Journal of Formalized Mathematics*, 1, 1989.

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