منابع مشابه
Trace class operators and Hilbert-Schmidt operators
If X,Y are normed spaces, let B(X,Y ) be the set of all bounded linear maps X → Y . If T : X → Y is a linear map, I take it as known that T is bounded if and only if it is continuous if and only if E ⊆ X being bounded implies that T (E) ⊆ Y is bounded. I also take it as known that B(X,Y ) is a normed space with the operator norm, that if Y is a Banach space then B(X,Y ) is a Banach space, that ...
متن کاملSandwich-type theorems for a class of integral operators with special properties
In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.
متن کاملA Simple Characterization of the Trace - Class of Operators
The trace-class (Tc) of operators on a Hilbert space is characterized in terms of existence of certain centralizers. KEY WO.Rt)S., AI. PHPASES. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE3. 47BI0, 46K15.
متن کاملTrace Class Conditions for Functions of Schrödinger Operators
We consider the difference f(−∆+V )−f(−∆) of functions of Schrödinger operators in L(R) and provide conditions under which this difference is trace class. We are particularly interested in non-smooth functions f and in V belonging only to some L space. This is motivated by applications in mathematical physics related to Lieb–Thirring inequalities. We show that in the particular case of Schrödin...
متن کاملSome Properties of Certain Class of Integral Operators
Jian-Rong Zhou,1 Zhi-Hong Liu,2 and Zhi-Gang Wang3 1 Department of Mathematics, Foshan University, Foshan 528000, Guangdong, China 2 Department of Mathematics, Honghe University, Mengzi 661100, Yunnan, China 3 School of Mathematics and Computing Science, Changsha University of Science and Technology, Yuntang Campus, Changsha, Hunan 410114, China Correspondence should be addressed to Zhi-Gang Wa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1995
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1213