Characterizations of weaving $K$-frames
نویسندگان
چکیده
منابع مشابه
Weaving Schauder frames
We extend the concept of weaving Hilbert space frames to the Banach space setting. Similar to frames in a Hilbert space, we show that for any two approximate Schauder frames for a Banach space, every weaving is an approximate Schauder frame if and only if there is a uniform constant C ≥ 1 such that every weaving is a C-approximate Schauder frame. We also study weaving Schauder bases, where it i...
متن کاملOn Characterizations of Fourier Frames and Tilings
for all f ∈ H.A and B are called frame bounds.The sequence is called a tight frame if A = B. The sequence is called Bessel if the second inequality above holds. In this case, B is called the Bessel bound. Frames were first introduced by Duffin and Schaeffer [1] in the context of nonharmonic Fourier series, and today they have applications in a wide range of areas. A frame can be considered as a...
متن کاملCharacterizations of k-copwin graphs
We give two characterizations of the graphs on which k cops have a winning strategy in the game of Cops and Robber. One of these is in terms of an order relation, and one is in terms of a vertex ordering. Both generalize characterizations known for the case k = 1. © 2012 Elsevier B.V. All rights reserved.
متن کاملCombinatorial Characterizations of K-matrices
We present a number of combinatorial characterizations of Kmatrices. This extends a theorem of Fiedler and Pták on linearalgebraic characterizations of K-matrices to the setting of oriented matroids. Our proof is elementary and simplifies the original proof substantially by exploiting the duality of oriented matroids. As an application, we show that a simple principal pivot method applied to th...
متن کاملCharacterizations of Function Spaces on the Sphere Using Frames
In this paper we introduce a polynomial frame on the unit sphere Sd−1 of Rd, for which every distribution has a wavelet-type decomposition. More importantly, we prove that many function spaces on the sphere Sd−1, such as Lp, Hp and Besov spaces, can be characterized in terms of the coefficients in the wavelet decompositions, as in the usual Euclidean case Rd. We also study a related nonlinear m...
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: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 2020
ISSN: 0386-2194
DOI: 10.3792/pjaa.96.008