Various properties of the regression vector (beta) over cap (kl) produced by cyclic subspace regression with regard to the mean centered linear regression equation (gamma) over tilde = X beta + (epsilon) over tilde are put forth. In particular, the subspace associated with the creation of (...
aThe data are grouped to form subobjective functions of misfit, and a steepest descent vector corresponding to each subobjec- tive function is used as a subspace vector. Partitioning of the data can be formed by grouping data that are spatially close, or by grouping data such that each group...
This is not artificially general since, for instance, the logistic map on the unit interval naturally extends to an operator on a non-metrizable topological vector space [30]. Also, the interest on the dynamics of operators on non-metrizable topological vector spaces has increased in recent ...
An operator T∈B(H) is called a ∗-class A operator if |T2|⩾|T∗|2, and T is said to be ∗-paranormal if ‖T∗x‖2⩽‖T2x‖ for every unit vector x in H. In this paper we show that ∗-paranormal contractions are the direct sum of a unitary and a C.0 complete...
In this paper various properties of discrete-time dynamic control systems trajectories with respect to state-space corner regions are considered. The known notion of state-space invariance serves as a basis for derivation of the whole family of dynamics behaviors for which both necessary and sufficien...
A decomposition of a topological vector spaceEis a sequenceof non-trivial subspaces ofEsuch that eachxinEcan be expressed uniquely in the form, whereyiEifor eachi. It follows at once that a basisofEcorresponds to the decomposition consis... NJ Kalton - 《Mathematical Proceedings of the Cambri...
Reactivation of earlier perceptual activity is thought to underlie long-term memory recall. Despite evidence for this view, it is unclear whether mnemonic activity exhibits the same tuning properties as feedforward perceptual activity. Here, we leverage
In this note we study the property (V) of Pelczynski, in a Banach space X, in relation with the presence, in the dual Banach space X*, of suitable weak* ba... R Cilia,G Emmanuele - 《Quaestiones Mathematicae》 被引量: 7发表: 2015年 On Pelczynski's property (V*) in vector seq...
The-z-Rényi divergencesin von Neumann algebras were very recently introduced in [36], based on the Haagerup-spaces, and a number of their properties was subsequently proved in [35]. In particular, most of the important properties including the DPI (with respect to normal positive unital maps...
are local, the multiplicity tree is a path containing their multiplicity vector. when the blow up gives a non-local ring, the associated value semigroup \(s'\) is also non-local and can be written as direct product of local good semigroups. in this point, the multiplicity tree branches...