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...

Abstract Let f : X → be an invertible Lipschitz transformation on a compact metric space . Given Hölder continuous operator cocycles Banach and -invariant ergodic measure, this paper establishes the continuity of Oseledets subspaces over set arbitrarily large measure. This extends result in [V Araujo, A I Bufetov S Filip, On Hölder-continuity subspaces, J. Lond. Math. Soc. 2016, 93 194–218]. fo...

the aim of this paper is to show that under some mild conditions a functional equation of multiplicative (; )-derivation is superstable on standard operator algebras. furthermore, we prove that this generalized derivation can be a continuous and an inner (; )- derivation.

The paper investigates the way in which the property of a language operation ⋄ ”to be invertible” helps in solving language equations of the type L⋄Y = R. In the beginning, the simple case where ⋄ denotes catenation is studied, but the results are then generalized for various invertible insertion and deletion operations. For most of the considered operations ⋄, the problem ”Does there exist a s...

We study the N = 2 string with a real structure on the (2, 2) spacetime, using BRST methods. Several new features emerge. In the diagonal basis, the operator exp(λ ∫ z J ), which is associated with the moduli for the U(1) gauge field on the world-sheet, is local and it relates the physical operators in the NS and R sectors. However, the picture-changing operators are non-invertible in this case...

Appell systems can be interpreted as polynomial solutions of generalized heat equations, and in probability theory they have been used to obtain non-central limit theorems. The natural grade-decomposition of a Clifford algebra of arbitrary signature lends it a natural Appell system decomposition. Motivated by evolution equations on Clifford algebras, combinatorial raising and lowering operators...