On weakly D-differentiable operators

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On weakly D-differentiable operators. / Christensen, Erik.

I: Expositiones Mathematicae, Bind 34, Nr. 1, 2016, s. 27–42.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Christensen, E 2016, 'On weakly D-differentiable operators', Expositiones Mathematicae, bind 34, nr. 1, s. 27–42. https://doi.org/10.1016/j.exmath.2015.03.002

APA

Christensen, E. (2016). On weakly D-differentiable operators. Expositiones Mathematicae, 34(1), 27–42. https://doi.org/10.1016/j.exmath.2015.03.002

Vancouver

Christensen E. On weakly D-differentiable operators. Expositiones Mathematicae. 2016;34(1):27–42. https://doi.org/10.1016/j.exmath.2015.03.002

Author

Christensen, Erik. / On weakly D-differentiable operators. I: Expositiones Mathematicae. 2016 ; Bind 34, Nr. 1. s. 27–42.

Bibtex

@article{f0013bea7f4c415faba152cc5c9ad554,
title = "On weakly D-differentiable operators",
abstract = "Let DD be a self-adjoint operator on a Hilbert space HH and aa a bounded operator on HH. We say that aa is weakly DD-differentiable, if for any pair of vectors ξ,ηξ,η from HH the function 〈eitDae−itDξ,η〉〈eitDae−itDξ,η〉 is differentiable. We give an elementary example of a bounded operator aa, such that aa is weakly DD-differentiable, but the function eitDae−itDeitDae−itD is not uniformly differentiable. We show that weak  DD-differentiability   may be characterized by several other properties, some of which are related to the commutator (Da−aD)",
author = "Erik Christensen",
year = "2016",
doi = "10.1016/j.exmath.2015.03.002",
language = "English",
volume = "34",
pages = "27–42",
journal = "Expositiones Mathematicae",
issn = "0723-0869",
publisher = "Elsevier GmbH - Urban und Fischer",
number = "1",

}

RIS

TY - JOUR

T1 - On weakly D-differentiable operators

AU - Christensen, Erik

PY - 2016

Y1 - 2016

N2 - Let DD be a self-adjoint operator on a Hilbert space HH and aa a bounded operator on HH. We say that aa is weakly DD-differentiable, if for any pair of vectors ξ,ηξ,η from HH the function 〈eitDae−itDξ,η〉〈eitDae−itDξ,η〉 is differentiable. We give an elementary example of a bounded operator aa, such that aa is weakly DD-differentiable, but the function eitDae−itDeitDae−itD is not uniformly differentiable. We show that weak  DD-differentiability   may be characterized by several other properties, some of which are related to the commutator (Da−aD)

AB - Let DD be a self-adjoint operator on a Hilbert space HH and aa a bounded operator on HH. We say that aa is weakly DD-differentiable, if for any pair of vectors ξ,ηξ,η from HH the function 〈eitDae−itDξ,η〉〈eitDae−itDξ,η〉 is differentiable. We give an elementary example of a bounded operator aa, such that aa is weakly DD-differentiable, but the function eitDae−itDeitDae−itD is not uniformly differentiable. We show that weak  DD-differentiability   may be characterized by several other properties, some of which are related to the commutator (Da−aD)

U2 - 10.1016/j.exmath.2015.03.002

DO - 10.1016/j.exmath.2015.03.002

M3 - Journal article

VL - 34

SP - 27

EP - 42

JO - Expositiones Mathematicae

JF - Expositiones Mathematicae

SN - 0723-0869

IS - 1

ER -

ID: 148641587