TightK-g-Frame and Its Novel Characterizations via Atomic Systems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a new G-frame and duality

We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality  for some kinds of g-frames. Finally, we illustrate an example which provides a  suitable translation from discrete frames to Sun's g-frames.

متن کامل

Stability of $g$-Frame Expansions

In this paper we investigate the stability of one-sided perturbation to g-frame expansions. We show that if $Lambda$ is a g-frame of a Hilbert space $mathcal{H}$, $Lambda_{i}^{a}=Lambda_{i}+Theta_{i}$ where $Theta_{i} in mathcal{L}(mathcal{H},mathcal{H}_{i})$, and $widetilde{f}=sum_{i in J}Lambda_{i}^{star}widetilde{Lambda}_{i}^{a}f$, $widehat{f}=sum_{i in J}(Lambda_{i}^{a})^{star}widetilde{Lam...

متن کامل

Quotient G-systems and Green\'s Relations

In this paper, we first introduce the concepts of G-systems, quotient G-systems and isomorphism theorems on G-systems of n-ary semihypergroups . Also we consider the Green's equivalences on G-systems and further in-vestigate some of their properties. A number of n-ary semihypergroups are constructed and presented as examples in this paper.

متن کامل

Atomic characterizations of vector-valued function spaces

The rst part of this diploma thesis deals with the topic of nding equivalent norms and characterizations for vector-valued Besov and Triebel-Lizorkin spaces Bs p,q(E) and F s p,q(E). We will deduce general criteria by transferring and extending a theorem of Bui, Paluszy«ski and Taibleson from the scalar to the vector-valued case. By using special norms and characterizations we will derive neces...

متن کامل

Characterizations of Tight Over-sampled Affine Frame Systems and Over-sampling Rates

Let M be a dilation matrix, Ψ a finite family of L-functions, andP the collection of all nonsingular matrices P such that M , P , and PMP−1 have integer entries. The objective of this paper is two-fold. Firstly, for each P in P , we characterize all tight affine frames X(Ψ, M) generated by Ψ such that the over-sampled affine systems X (Ψ, M) relative to the “over-sampling rate” P remain to be t...

متن کامل

ذخیره 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: Advances in Mathematical Physics

سال: 2016

ISSN: 1687-9120,1687-9139

DOI: 10.1155/2016/3783456