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TOPOLOGY OF CONVERGECE ON THE JORDAN BANACH ALGEBRAS

Authors

  • К Кодиров

    Fergana State University

  • Т.Тўхтасинов Т.Тўхтасинов

    Fergana State University

Keywords:

operator, normal, topology, basis, spectral decomposition, orthogonal, symmetry, idempotent.

Abstract

In this paper, we prove that an algebra with respect to the topology t is a separable topological Jordan algebra, i.e. all algebraic operations are continuous over a set of variables.

Author Biographies

  • К Кодиров, Fergana State University

    ФарДУ, математика кафедраси доценти

  • Т.Тўхтасинов Т.Тўхтасинов, Fergana State University

    ФарДУ, 2-курс магистранти

References

Аюпов Ш.А. Топологические частично упорядоченные йордановы алгебры. УМН, 1980, т.35, вып.3 (213).

Аюпов Ш.А. Интегрирование на йордановых алгебрах. Известия АН, 1983, т.47, -№1

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Published

2023-07-05

Issue

No. 6 (2020): Scientific journal of the Fergana State University

Section

Scientific information