Numerical range and functional calculus in Hilbert space
نویسندگان
چکیده
منابع مشابه
Feynman’s Operational Calculus and the Stochastic Functional Calculus in Hilbert Space
Abstract. Let A1, A2 be bounded linear operators acting on a Banach space E. A pair (μ1, μ2) of continuous probability measures on [0, 1] determines a functional calculus f 7−→ fμ1,μ2(A1, A2) for analytic functions f by weighting all possible orderings of operator products of A1 and A2 via the probability measures μ1 and μ2. For example, f 7−→ fμ,μ(A1, A2) is the Weyl functional calculus with e...
متن کاملNonlinear Functional Integrodifferential Equations in Hilbert Space
Let X be a Hilbert space and let Ω ⊂ Rn be a bounded domain with smooth boundary ∂Ω. We establish the existence and norm estimation of solutions for the parabolic partial functional integro-differential equation in X by using the fundamental solution.
متن کاملON BOUNDARY OF JOINT NUMERICAL RANGE OF n-TUPLE OPERATORS ON A COMPLEX HILBERT SPACE
In this work, we define the joint normal eigenvalue, joint reducing approximate eigenvalue and we obtain some important and new results about the boundary of joint numerical range of n-tuple operators on a complex Hilbert space.
متن کاملThe Numerical Radius Haagerup Norm and Hilbert Space Square Factorizations
Abstract. We study a factorization of bounded linear maps from an operator space A to its dual space A∗. It is shown that T : A −→ A∗ factors through a pair of a column Hilbert spaces Hc and its dual space if and only if T is a bounded linear form on A ⊗ A by the canonical identification equipped with a numerical radius type Haagerup norm. As a consequence, we characterize a bounded linear map ...
متن کاملLocating the Range of an Operator on a Hilbert Space
exists (is computable) for each x in H; if P is that projection, / is the identity operator on H, and the adjoint T*ofT exists, then / P is the projection of H on ker(3*), the kernel of T*. (For an example to show that the existence of the adjoint of a bounded operator on a Hilbert space is not automatic in constructive mathematics, see Brouwerian Example 3 in [7]; see also Example 2 below.) Th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2007
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2006.10.013