... the **space** of entire functions endowed with the topology of the uniform convergence on compact sets (see, for instance, ...the **Hilbert** **space** H K , the series on the rigth side of ...

17

... its **Hilbert** **space** dimension (or equivalently the number of its available levels) and its ...the **Hilbert** **space** dimension of the machine: Reaching absolute zero temperature requires infinite ...

15

... In order to describe the Lie algebra of Aﬀ( H ), we need to see how is the Lie algebra structure of ( H , +). We can identify H with its Lie algebra, h = T 0 ( H ), because it is a **Hilbert** **space**. Since H it ...

72

... Abstract. In this paper, we obtain some H´ ajek-R´ enyi inequalities for sequences of **Hilbert** valued random variables which are associated, negatively associated and φ-mixing. As applications, we give some almost ...

12

... The number of different ABC methods that have been proposed across the literature is so large that it would be difficult to classify them. However, two large groups could be highlighted: the ones that work with ...

62

... Bearing in mind the classical Bloch spaces defined on the unit ball of C and C n , and their possible definitions, we set the following possible norms on the **space** for the unit ball of E. Definition 2.1. We define ...

13

... The unified setting, based on the definition of a pre-Hilbert space, successfully gathers the existing detection schemes for continuous-time stochastic dynamical systems [2, 4].. The qu[r] ...

10

... Remark 3.8. It iw worth noticing that Theorems 3.2 and 3.4-3.7 can be extended to other tuples of C ∗ -algebra elements and of **Hilbert** **space** operators respectively in the same way that it was done in ...

10

... that **Hilbert** spaces are not sufficient for a thoroughly formulation of Quan- tum Mechanics even within the non-relativistic con- ...the **Hilbert** **space** of square integrable wave ...than **Hilbert** ...

6

... Chiral partition functions of conformal field theory describe the edge exci- tations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a ...

37

... A quantum system is kinematically specified by a complex **Hilbert** **space** H (there are hardly cases where a separable **space** will not do). The physical “ob- servables” are identified with linear ...

9

... ω( 1 A ) = T r(ρ) = 1 ω(α ∗ ) = ω(α) ω(α ∗ α) > 0, ( 5 . 1 ) for α ∈ A . The last property can be easily checked by calculating T r(α ∗ αρ) in the diagonal basis of ρ , regarding that the trace is invariant under ...

95

... We introduce a dynamical evolution operator for dealing with unstable physical process, such as scattering resonances, photon emission, decoher- ence and particle decay. With that aim, we use the formalism of rigged ...

20

... of **Hilbert** **Space** methods to the solution of integral equations, where the goal is again to best approximate the exact ...the **Hilbert** **Space** norm-2: ...

8

... Abstract This paper is concerned with the study of a class of closed linear operators densely deﬁned on a **Hilbert** **space** H and called B-Fredholm operators. We characterize a B-Fredholm operator as the direct ...

12

... was observed that the set of all posinormal operators on any **Hilbert** **space** is an enormous collection that includes every invertible operator and all the hyponormal operators. Some key facts about posinormal ...

6

... phase **space** and the algebra of operators acting on **Hilbert** ...configuration **space** makes the method particularly appealing for our ...projective **space**, the obtained operators coincide with ...

51

... A **Hilbert** **space** H induces a formal context, the **Hilbert** for- mal context H , whose associated concept lattice is isomorphic to the lattice of closed subspaces of H ...between **Hilbert** contexts, ...

11

... In a previous paper [6], we have given a RHS supporting unitary irreducible representations for SO(2). This is a quite simple example, in which the simultaneous use of continuous and discrete bases, as is customary in ...

15

... between **Hilbert** spaces and the Banach spaces that are studied in the next ...of **Hilbert** **space** is contained in the preceding ...Banach **space** lies in darkness and has attracted the attention of ...

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