Fractional powers of operators. II. Interpolation spaces
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
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15 صفحه اولFractional Powers of Operators of Tsallis Ensemble and their Parameter
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We study the numerical approximation of fractional powers of accretive operators in this paper. Namely, if A is the accretive operator associated with an accretive sesquilinear form A(·, ·) defined on a Hilbert space V contained in L(Ω), we approximate A for β ∈ (0, 1). The fractional powers are defined in terms of the so-called Balakrishnan integral formula. Given a finite element approximatio...
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We present and study a novel numerical algorithm to approximate the action of T := L where L is a symmetric and positive definite unbounded operator on a Hilbert space H0. The numerical method is based on a representation formula for T in terms of Bochner integrals involving (I + tL) for t ∈ (0,∞). To develop an approximation to T , we introduce a finite element approximation Lh to L and base o...
متن کاملFractional powers of hyponormal operators of Putnam type
We are concerned with fractional powers of the so-called hyponormal operators of Putnam type. Under some suitable assumptions it is shown that if A, B are closed hyponormal linear operators of Putnam type acting on a complex Hilbert space H, then D((A+B)α) = D(Aα)∩D(Bα) = D((A+B)∗α) for each α ∈ (0,1). As an application, a large class of the Schrödinger’s operator with a complex potential Q ∈ L...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1967
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1967.21.89