abstract. certain facts about frames and generalized frames (g- frames) are extended for the g-frames for hilbert c*-modules. it is shown that g-frames for hilbert c*-modules share several useful properties with those for hilbert spaces. the paper also character- izes the operators which preserve the class of g-frames for hilbert c*-modules. moreover, a necessary and suffcient condition is ob- ...

Charles Sanders Peirce famously declared that “no two things could be more directly opposite than the cast of mind of the logician and that of the mathematician” (Peirce 1976, p. 595), and one who would take his word for it could only ascribe to David Hilbert that mindset opposed to the thought of his contemporaries, Frege, Gentzen, Gödel, Heyting, Łukasiewicz, and Skolem. They were the logicia...

the concept of soft sets, introduced by molodtsov [20] is a mathematicaltool for dealing with uncertainties, that is free from the difficultiesthat have troubled the traditional theoretical approaches. in this paper, weapply the notion of the soft sets of molodtsov to the theory of hilbert algebras.the notion of soft hilbert (abysmal and deductive) algebras, soft subalgebras,soft abysms and sof...

in this paper, we investigate duality of modular g-riesz bases and g-riesz basesin hilbert c*-modules. first we give some characterization of g-riesz bases in hilbert c*-modules, by using properties of operator theory. next, we characterize the duals of a giveng-riesz basis in hilbert c*-module. in addition, we obtain sucient and necessary conditionfor a dual of a g-riesz basis to be again a g...

In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.  A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is ...

This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels an...

This paper derives error bounds for regression in continuous time over subsets of certain types Riemannian manifolds. The problem is typically driven by a nonlinear evolution law taking values on the manifold, and it cast as one optimal estimation reproducing kernel Hilbert space. A new notion persistency excitation (PE) defined rates convergence estimates are derived using PE condition. We dis...

Motivated by the pseudogap-Fermi liquid transition in doped Mott insulators, we examine excitations of a $t$-$J$ model with random and all-to-all hopping exchange. The stability quasiparticles such as spin-1/2 fermions, spin-1 magnons, emergent Jordan-Wigner (JW) spinless fermions is cast problem localization many-body Hilbert space, which studied FEAST eigensolver algorithm. At low dopings, ma...

In this paper, we derive an exact black hole spacetime metric in the Einstein–Hilbert–Bumblebee (EHB) gravity around global monopole field. We study horizon, temperature, and photon sphere of hole. Using null geodesics equation, obtain shadow cast by Schwarzschild-like with a topological defect bumblebee gravity. Interestingly, radius increases increase parameter. also visualize shadows energy ...