THE CONNECTION OF A RICKART REAL C*-ALGEBRA WITH ITS ENVELOPING RICKART (COMPLEX) C*-ALGEBRA
- Authors
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Abduxamidova Dilshoda Bayram qizi
Kokand University Student of MLS – 1 – 22
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Nilufarxon Raxmonova Vaxobjon qizi
Kokand University teacher at Department of Digital technologies and mathematics
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- Abstract
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In the paper Rickart complex and real C*-algebra are consider. For Rickart real C*-algebra, its connection with the enveloping (complex) C*-algebra is studied. It is shown that the fact that A is a Rickart real C*-algebra does not imply that a complexification A +i A of A is a Rickart (complex) C*-algebra. Proved that if A is a real C*-algebra and A +i A is a Rickart C*-algebra, then A is a Rickart real C*-algebra. It is shown that there exists a Rickart real C*- algebra whose projection lattice is not complete.
- References
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- 2023-05-15
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- ANIQ VA TABIIY FANLAR TA`LIMIDA ERISHILGAN YUTUQLAR VA ISTIQBOLLI VAZIFALAR
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