Trace class properties of resolvents of Callias operators

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Oliver Fürst

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)525-553
Seitenumfang29
FachzeitschriftJournal of spectral theory
Jahrgang13
Ausgabenummer2
PublikationsstatusVeröffentlicht - 8 Okt. 2023

Abstract

We present conditions for a family (A(x))x∞Rd of self-adjoint operators in H r = Cr ⊗ H for a separable complex Hilbert space H, such that the Callias operator D = ic∇ + A(X) satisfies that (D*D + 1)−N − (DD* + 1)−N is trace class in L2(Rd, H r ). Here, c∇ is the Dirac operator associated to a Clifford multiplication c of rank r on Rd , and A(X) is fibre-wise multiplication with A(x) in L2(Rd, H r).

ASJC Scopus Sachgebiete

Zitieren

Trace class properties of resolvents of Callias operators. / Fürst, Oliver.
in: Journal of spectral theory, Jahrgang 13, Nr. 2, 08.10.2023, S. 525-553.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Fürst O. Trace class properties of resolvents of Callias operators. Journal of spectral theory. 2023 Okt 8;13(2):525-553. doi: 10.4171/JST/451
Fürst, Oliver. / Trace class properties of resolvents of Callias operators. in: Journal of spectral theory. 2023 ; Jahrgang 13, Nr. 2. S. 525-553.
Download
@article{641651599e9649eaba417fef166d0881,
title = "Trace class properties of resolvents of Callias operators",
abstract = "We present conditions for a family (A(x))x∞Rd of self-adjoint operators in H r = Cr ⊗ H for a separable complex Hilbert space H, such that the Callias operator D = ic∇ + A(X) satisfies that (D*D + 1)−N − (DD* + 1)−N is trace class in L2(Rd, H r ). Here, c∇ is the Dirac operator associated to a Clifford multiplication c of rank r on Rd , and A(X) is fibre-wise multiplication with A(x) in L2(Rd, H r).",
keywords = "Callias operator, Dirac operator, operator potential, resolvent, trace class",
author = "Oliver F{\"u}rst",
year = "2023",
month = oct,
day = "8",
doi = "10.4171/JST/451",
language = "English",
volume = "13",
pages = "525--553",
journal = "Journal of spectral theory",
issn = "1664-039X",
publisher = "European Mathematical Society Publishing House",
number = "2",

}

Download

TY - JOUR

T1 - Trace class properties of resolvents of Callias operators

AU - Fürst, Oliver

PY - 2023/10/8

Y1 - 2023/10/8

N2 - We present conditions for a family (A(x))x∞Rd of self-adjoint operators in H r = Cr ⊗ H for a separable complex Hilbert space H, such that the Callias operator D = ic∇ + A(X) satisfies that (D*D + 1)−N − (DD* + 1)−N is trace class in L2(Rd, H r ). Here, c∇ is the Dirac operator associated to a Clifford multiplication c of rank r on Rd , and A(X) is fibre-wise multiplication with A(x) in L2(Rd, H r).

AB - We present conditions for a family (A(x))x∞Rd of self-adjoint operators in H r = Cr ⊗ H for a separable complex Hilbert space H, such that the Callias operator D = ic∇ + A(X) satisfies that (D*D + 1)−N − (DD* + 1)−N is trace class in L2(Rd, H r ). Here, c∇ is the Dirac operator associated to a Clifford multiplication c of rank r on Rd , and A(X) is fibre-wise multiplication with A(x) in L2(Rd, H r).

KW - Callias operator

KW - Dirac operator

KW - operator potential

KW - resolvent

KW - trace class

UR - http://www.scopus.com/inward/record.url?scp=85174936508&partnerID=8YFLogxK

U2 - 10.4171/JST/451

DO - 10.4171/JST/451

M3 - Article

AN - SCOPUS:85174936508

VL - 13

SP - 525

EP - 553

JO - Journal of spectral theory

JF - Journal of spectral theory

SN - 1664-039X

IS - 2

ER -