آگهی دفاع از رساله دکتری
پردیس علـوم
دانشکده ریاضی، آمار و علوم کامپیوتر

عنوان: قاب‌ها در C*-مدول‌های هیلبرت
دانشجو: زهرا حسن‌پور یخدانی
رشته:  ریاضی محض (آنالیز)

استاد راهنما: دکتر محمدباقر اسدی

زمان : 97/7/1 - ساعت 15:30
مکان: سالن هشترودی

چکیده:

Whether every Hilbert C*_module over a C*-algebra A admits a frame, is an interesting open question in Hilbert C*-module theory. In general, the response to this question is negative
 and every Hilbert C*-module over a commutative C*-algebra A admits a frame if and only if
 A is a finite dimensional C*-algebra. Indeed, the conjecture is that it is equivalent to being a
 a C*-algebra of compact operators. The main purpose of this dissertation is to give a partially affirmative response to this conjecture. Also, the notion of generalized-algebra valued G-frame has been introduced and its existence has been studied