We prove some further properties of the operator T ∈ nQN n-power quasinormal, defined in Sid Ahmed, 2011 . In particular we show that the operator T ∈ nQN satisfying the translation invariant property is normal and that the operator T ∈ nQN is not supercyclic provided that it is not invertible. Also, we study some cases in which an operator T ∈ 2QN is subscalar of order m; that is, it is simila...

We prove that two dual operator spaces X and Y are stably isomorphic if and only if there exist completely isometric normal representations φ and ψ of X and Y , respectively, and ternary rings of operators M1,M2 such that φ(X) = [M ∗ 2 ψ(Y )M1] −w ∗ and ψ(Y ) = [M2φ(X)M ∗ 1 ]. We prove that this is equivalent to certain canonical dual operator algebras associated with the operator spaces being ...


 En este trabajo X es un espacio de Banach y B(X) denota los operadores acotados. Si T∈B(X), por lat(T) entenderemos subespacios invariantes T. Se dice que T lleno, si (T(M)) ̅=M, para todo M∈lat(T) (la barra indica la clausura en topología inducida norma). prueba principalmente el siguiente resultado: Sean ∈B(X) acotado abajo. Sea K ∈Alglat(T)∩{T}' operador Riesz. entonces lleno. Aquí Alg...

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We study the spectrum of multipliers (bounded operators commuting with the shift operator S) on a Banach space E of sequences on Z. Given a multiplier M , we prove that f M(σ(S)) ⊂ σ(M) where f M is the symbol of M . We obtain a similar result for the spectrum of an operator commuting with the shift on a Banach space of sequences on Z. We generalize the results for multipliers on Banach spaces ...

and this index is constant on continuous families of such L. Suppose that D is an elliptic operator of order m on sections of a vector bundle E± over a smooth, compact manifold M . Let H (Γ (M,E±)) denote the Sobolev s-norm completion of the space of sections Γ (M,E), with respect to a chosen metric. Then D can be extended to be a bounded linear operator Ds : H s (Γ (M,E)) → Hs−m (Γ (M,E−)) tha...

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

If a normalized Kähler-Ricci flow g(t), t ∈ [0,∞), on a compact Kähler manifold M , dimC M = n ≥ 3, with positive first Chern class satisfies g(t) ∈ 2πc1(M) and has curvature operator uniformly bounded in Ln-norm, the curvature operator will also be uniformly bounded along the flow. Consequently the flow will converge along a subsequence to a Kähler-Ricci soliton.

Abstract A depending on a complex parameter k superanalog SL of Calogero operator is constructed; it is related with the root system of the Lie superalgebra gl(n|m). For m = 0 we obtain the usual Calogero operator; for m = 1 we obtain, up to a change of indeterminates and parameter k the operator constructed by Veselov, Chalykh and Feigin [2, 3]. For k = 1, 1 2 the operator SL is the radial par...

Given a complex manifold M endowed with a hermitian metric g and supporting a smooth probability measure μ, there is a naturally associated Dirichlet form operator A on L(μ). If b is a function in L(μ) there is a naturally associated Hankel operator Hb defined in holomorphic function spaces over M . We establish a relation between hypercontractivity properties of the semigroup e−tA and boundedn...