Қўқон университети хабарномаси (2023) · 41-43-betlar
THE CONNECTION OF A RICKART REAL C*-ALGEBRA WITH ITS ENVELOPING RICKART (COMPLEX) C*-ALGEBRA
Abduxamidova Dilshoda Bayram qizi, Nilufarxon Raxmonova Vaxobjon qizi
Annotatsiya
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.
C*-algebra; Rickart complex and real C*-algebras; complex and real AW*- algebras.
Metadata manbasi: jurnal OAI-PMH arxivi · Sindex toʻliq matnni saqlamaydi, manbaga havola beradi.