on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.

in this paper, we considered composition operators on weighted hilbert spaces of analytic functions and  observed that a formula for the  essential norm, gives a hilbert-schmidt characterization and characterizes the membership in schatten-class for these operators. also, closed range composition operators  are investigated.

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

in this paper we investigate a new notion of bases in hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in hilbert spaces. we also introducea new denition of fusion dual sequence associated with a fusion basis and show that theoperators of a fusion dual sequence are continuous projections. next we dene the fusionbiorthogonal sequence, bessel fusion basis, hilbe...

The reconstruction of the unitary symmetry [1] under non-linear dynamical mapping Hilbert space of action amplitudes C onto projective Hilbert space CP (N−1) [2] has been applied here to the quantum dynamics of elementary vacuum excitations. The “vacuum manifold of virtual action states” is represented here by CP (N − 1) whereas its tangent vectors define local dynamical variables (LDV’s) descr...

Here the theory of finite-dimensional supermanifolds is generalized in two directions. First, we introduce infinite-dimensional locally isomorphic to arbitrary Banach (or, more generally, convex) superspaces. This achieved by considering as functors (equipped with some additional structure) from category Grassmann superalgebras into corresponding smooth manifolds (Banach or convex). Selected ex...

Motivated by recently explored examples, we undertake a systematic study of conformal invariance in one-dimensional sigma models where an isometry group has been gauged. Perhaps surprisingly, uncover classes which are only scale invariant their ungauged form and become fully conformally after gauging. In these cases the target space gauged model satisfies deformation well-known geometry constra...

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...