Extension of linear operators and Lipschitz maps into -spaces.
Extension of multiplicative families of isometries. (Extensión de familias multiplicativas de isometrías.)
Extension of operators from weak*-closed sub-spaces of into C(K) spaces
It is proved that every operator from a weak*-closed subspace of into a space C(K) of continuous functions on a compact Hausdorff space K can be extended to an operator from to C(K).
Extension of spectral scales to unbounded operators.
Extension of the Riesz Representation Theorem and Solution of the Maxwell-Boltzmann Functional Equation. (Short Communication).
Extension of the Riesz Representation Theorem and Solution of the Maxwell Functional Equation.
Extensions, dilations and functional models of infinite Jacobi matrix
A space of boundary values is constructed for the minimal symmetric operator generated by an infinite Jacobi matrix in the limit-circle case. A description of all maximal dissipative, accretive and selfadjoint extensions of such a symmetric operator is given in terms of boundary conditions at infinity. We construct a selfadjoint dilation of maximal dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of dilation....
Extensions of Heinz-Kato-Furuta inequality. II.
Extensions of mappings from products
Extensions of symmetric operators I: The inner characteristic function case
Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the characterization of its set of symmetric extensions. This problem is equivalent to the study of the partial isometric extensions of a fixed partial isometry. We provide a new function theoretic characterization of the set of all self-adjoint extensions of any symmetric linear transformation B with finite equal indices and inner Livšic characteristic function θB by constructing a bijection between the...
Extensions of the results on powers of -hyponormal and -hyponormal operators.
Extensions of two classic kinds of Wachs space operators
External approximation of eigenvalue problems in Banach spaces
Extremal perturbations of semi-Fredholm operators
Let T be a bounded operator on an infinite-dimensional Banach space X and Ω a compact subset of the semi-Fredholm domain of T. We construct a finite rank perturbation F such that min[dim N(T+F-λ), codim R(T+F-λ)] = 0 for all λ ∈ Ω, and which is extremal in the sense that F² = 0 and rank F = max{min[dim N(T-λ), codim R(T-λ)] : λ ∈ Ω.
Extremal problems for completely positive maps.
Extreme points of numerical ranges of quasihyponormal operators
Extreme points of the complex binary trilinear ball
We characterize all the extreme points of the unit ball in the space of trilinear forms on the Hilbert space . This answers a question posed by R. Grząślewicz and K. John [7], who solved the corresponding problem for the real Hilbert space . As an application we determine the best constant in the inequality between the Hilbert-Schmidt norm and the norm of trilinear forms.
Extremely non-complex Banach spaces
A Banach space X is said to be an extremely non-complex space if the norm equality ∥Id +T 2∥ = 1+∥T 2∥ holds for every bounded linear operator T on X. We show that every extremely non-complex Banach space has positive numerical index, it does not have an unconditional basis and that the infimum of diameters of the slices of its unit ball is positive.