Trotter-Kato Product Formulæ

The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces. It also includes results on the operator-norm convergent product formulæ for solution operators of the non-autonomous Cauchy problems...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Zagrebnov, Valentin A. (Egilea), Neidhardt, Hagen (Egilea), Ichinose, Takashi (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Edizioa:1st ed. 2024.
Saila:Operator Theory: Advances and Applications, 296
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-3-031-56720-9
Etiketak: Etiketa erantsi
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Aurkibidea:
  • - Part I Preliminaries
  • Semigroups and their generators
  • Linear Evolution Equations
  • Quasi-sectorial contractions and operator-norm convergence
  • Part II: Trotter-Kato product formulæ for self-adjoint semigroups
  • Product approximations of self-adjoint semigroups
  • Trotter-Kato product formulæ: strong operator topology
  • Trotter-Kato product formulæ: operator-norm topology
  • Trotter-Kato product formulae: operator-norm topology and error bounds
  • Part III: Trotter-Kato product formulæ for non-self-adjoint semigroups
  • Operator-norm approximation theory `a la Cherno
  • Product formulæ for non-self-adjoint semigroups
  • Operator-norm Trotter product formula on Banach spaces
  • Part IV: Time-dependent product formulæ. - Time-dependent product formulæ: Banach space
  • Time-dependent product formulæ: Hilbert space
  • Part V: Unitary and Zeno product formulæ
  • Unitary product formulæ. - Zeno product formulæ.