Staking Out the Physical Sectors of Hilbert Spaces
نویسندگان
چکیده
Dmitri Mogilevtsev,1,2 Yong Siah Teo,3 Jaroslav Řeháček,3 Zdeněk Hradil,3 Johannes Tiedau,4 Regina Kruse,4 Georg Harder,4 Christine Silberhorn,4,5 and Luis L. Sánchez-Soto5,6 1Institute of Physics, Belarus National Academy of Sciences, F. Skarina Ave. 68, Minsk 220072 Belarus 2Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Santo André, SP, 09210-170 Brazil 3Department of Optics, Palacký University, 17. listopadu 12, 77146 Olomouc, Czech Republic 4Department of Physics, University of Paderborn, Warburger Straße 100, 33098 Paderborn, Germany 5Max-Planck-Institut für die Physik des Lichts, Günther-Scharowsky-Straße 1, Bau 24, 91058 Erlangen, Germany 6Departamento de Óptica, Facultad de Fı́sica, Universidad Complutense, 28040 Madrid, Spain
منابع مشابه
Duals and approximate duals of g-frames in Hilbert spaces
In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.
متن کاملError bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion
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.
متن کاملThe study on controlled g-frames and controlled fusion frames in Hilbert C*-modules
Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator on abstract Hilbert spaces. Fusion frames and g-frames generalize frames. Hilbert C*-modules form a wide category between Hilbert spaces and Banach spaces. Hilbert C*-modules are generalizations of Hilbert spaces by allowing the inner product to take values in a C*...
متن کاملNew characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
In this paper we investigate a new notion of bases in Hilbert spaces and similar to fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introduce a new denition of fusion dual sequence associated with a fusion basis and show that the operators of a fusion dual sequence are continuous projections. Next we dene the fusion biorthogonal sequence, Bessel fusion basis, Hil...
متن کامل(C; C\')-Controlled g-Fusion Frames in Hilbert Spaces
Controlled frames in Hilbert spaces have been recently introduced by P. Balazs and etc. for improving the numerical efficiency of interactive algorithms for inverting the frame operator. In this paper we develop a theory based on g-fusion frames on Hilbert spaces, which provides exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In part...
متن کامل