Functional calculus forC0-groups using type and cotype
نویسندگان
چکیده
منابع مشابه
Type and Cotype of Operator Spaces
We consider two operator space versions of type and cotype, namely Sp-type, Sq-cotype and type (p, H), cotype (q, H) for a homogeneous Hilbertian operator space H and 1 ≤ p ≤ 2 ≤ q ≤ ∞, generalizing “OH-cotype 2” of G. Pisier. We compute type and cotype of some Hilbertian operator spaces and Lp spaces, and we investigate the relationship between a homogeneous Hilbertian space H and operator spa...
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We produce, on general homogeneous groups, an analogue of the usual Hörmander pseudodifferential calculus on Euclidean space, at least as far as products and adjoints are concerned. In contrast to earlier works, we do not limit ourselves to analogues of classical symbols, nor to the Heisenberg group. The key technique is to understand “multipliers” of any given order j, and the operators of con...
متن کاملOh-type and Oh-cotype of Operator Spaces
The definition and basic properties of OH-type and OH-cotype of operator spaces are given. We present operator space versions of Maurey’s extension theorem and generalized little Grothendieck’s theorem in terms of these new notions. We also observe that “OH-cotype 2” in this paper is equivalent to the previous definition of “OH-cotype 2” of G. Pisier.
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In this paper, we develop the unbounded extension of the Hille–Phillips functional calculus for generators of bounded groups. Mathematical applications include the generalised Lévy–Khintchine formula for subordinate semigroups, the analyticity of semigroups generated by fractional powers of group generators, where the power is not an odd integer, and a shifted abstract Grünwald formula. We also...
متن کاملType and cotype with respect to arbitrary orthonormal systems
Mathematisches Institut der Friedrich Schiller Universita̋t Jena UHH 17. OG D O7743 Jena Germany E-mail: [email protected] Mathematisches Seminar der Universita̋t Kiel Ludewig Meyn Strasse 4 D 24098 KIEL Germany E-mail: [email protected] Abstract Let Φ = (φk)k∈IN be an orthonormal system on some σ-finite measure space (Ω, p). We study the notion of cotype with respect to Φ...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2018
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/hay032