Abstract. In this article, we study tensor product of Hilbert C∗-modules and Hilbert spaces. We show that if E is a Hilbert A-module and F is a Hilbert B-module, then tensor product of frames (orthonormal bases) for E and F produce frames (orthonormal bases) for Hilbert A⊗B-module E ⊗F , and we get more results. For Hilbert spaces H and K, we study tensor product of frames of subspaces for H an...

Cobalt(II) compounds [Co(C10C8C2-terpy)2](BF4)2 (1) and [Co(C12C10C2terpy)2](BF4)2 (2) (CxCyCz-terpy = 4’-5’’’-Alkyl-1’’’-alkoxy-2,2’:6’,2’’-terpyridine) with branched alkyl chains, based on a terpyridine frame, were synthesized. The cobalt(II) compounds 1 and 2 exhibit the spin transition between low-spin and high-spin with thermal hysteresis loop at the liquid crystal transition temperature (...

Introduction: The broadcast scheduling problem (BSP) is to find a collision-free scheduling of transmissions of all the stations in a minimum number of time slots. The final arrangement of the station transmissions into their allocated time slots is called a frame. Consider a packet radio network (PRN) represented by a graph G1⁄4 (V, E), where V is the set of nodes and E the set of edges. An N ...

the combination of flexural frame and shear wall is one of the suitable systems to apply in reinforced concrete buildings. the deflections of flexural frame become limited due to the high stiffness of wall and the interaction of these systems. tall buildings even higher than fifty stories can be designed by using frame- wall systems. with respect to special behavior of flexural frame or shear w...

Weak b → c transitions are described by QCD currents c̄Γb with Γ = γ and γ5γ . If we are only interested in their matrix elements for pb = mbv + k, pc = mcv ′ + k, where the residual momenta k, k are small as compared to the heavy-quark masses mc,b, then we may expand these QCD currents in HQET operators of the form c̄v′ · · · bv with the appropriate quantum numbers divided by powers of mc,b. The...

A Weyl-Heisenberg frame for L2(R) is a frame consisting of modulates Embg(t) = e 2πimbtg(t) and translates Tnag(t) = g(t − na), m,n ∈ Z, of a fixed function g ∈ L2(R), for a, b ∈ R. A fundamental question is to explicitly represent the families (g, a, b) so that (EmbTnag)m,n∈Z is a frame for L2(R). We will show an interesting connection between this question and a classical problem of Littlewoo...

In this paper, we define and study the notion of the real-valued functions on a frame $L$. We show that $F(L) $, consisting of all frame homomorphisms from the power set of $mathbb{R}$ to a frame $ L$, is an $f$-ring, as a generalization of all functions from a set $X$ into $mathbb R$. Also, we show that $F(L) $ is isomorphic to a sub-$f$-ring of $mathcal{R}(L)$, the ring of real-valued continu...

abstract to resist lateral loads in concrete buildings, usually systems such as flexural frame, shear wall or their combinations are used. using x form of cable bracing in order to strengthen concrete buildings is a new method. this system is more economical compared with the other systems due to cables low weight, high tensile resistance, easy performance and less maintenance problems. in this...

in this paper the author considers a general method, based on time domain samples for spectral manipulation of time limited signals. first, the original signal is divided into some frames in the time domain. then, by presenting a suitable theoretical and computational algorithm, and using a method for improving the speed of convergence, we find the local bandwidth of each frame; thereby, each f...

Extending and improving the concepts: woven frame and fusion frames, we introduce the notion of woven fusion frames in Hilbert spaces. We clarify our extension and generalization by some examples of woven frames and woven fusion frames. Also, we present some properties of woven fusion frames, especially we show that for given two woven frames of sequences, one can build woven fusion frames and ...