Geometric relations between spaces of nuclear operators and spaces of compact operators

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

wavelets, modulation spaces and pseudidifferential operators

مبحث تحلیل زمان-فرکانسی سیگنالها یکی از مهمترین زمینه های مورد بررسی پژوهشگران علوم ÷ایه کاربردی و فنی مهندسی میباشد.در این پایان نامه فضاهای مدولاسیون به عنوان زمینه اصلی این بررسی ها معرفی گردیده اند و نتایج جدیدی که در حوزه های مختلف ریاضی،فیزیک و مهندسی کاربرداساسی و فراوانی دارند استوار و بیان شده اند.به ویژه در این پایان نامه به بررسی و یافتن مقادیر ویژه عملگر های شبه دیفرانسیل با سمبل در...

Spaces of Compact Operators

In this paper we study the structure of the Banach space K(E, F) of all compact linear operators between two Banach spaces E and F. We study three distinct problems: weak compactness in K(E, F), subspaces isomorphic to l~ and complementation of K(E, F) in L(E, F), the space of bounded linear operators. In § 2 we derive a simple characterization of the weakly compact subsets of K(E, F) using a c...

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

A Class of compact operators on homogeneous spaces

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.