Isometries of log -Integrable Functions

Authors

  • Abdullaev R. Z. Doctor of Physical and Mathematical Sciences, professor. Tashkent University of information Technologies
  • Madaminov B. A. Doktor of Physical and Mathematical ciences (Phd). Non-government educational institution "Mamun University"

Keywords:

Functional spaces, boolean algebras, complete boolean algebras, homogeneous Boolean algebras, internal algebras

Abstract

In this paper studied isometries of spaces of  integrable functions with logarithm. In the paper, it is given isomorphic classification of -spaces of -integrable measurable functions constructed using different measures. At the same time, it is proved that such spaces are non-isometric.

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Published

2024-03-31

Issue

Vol. 2 No. 3 (2024): American Journal of Engineering , Mechanics and Architecture

Section

Articles

How to Cite

Isometries of log -Integrable Functions. (2024). American Journal of Engineering , Mechanics and Architecture (2993-2637), 2(3), 172-178. https://mail.grnjournal.us/index.php/AJEMA/article/view/3993