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Trotter-Kato product formulæ

Record Type:	Electronic resources : Monograph/item
Title/Author:	Trotter-Kato product formulæby Valentin A. Zagrebnov, Hagen Neidhardt, Takashi Ichinose.
Author:	Zagrebnov, Valentin.
other author:	Neidhardt, Hagen.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xx, 873 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Operator theory.
電子資源:	https://doi.org/10.1007/978-3-031-56720-9
ISBN:	9783031567209$q(electronic bk.)

Trotter-Kato product formulæ
Zagrebnov, Valentin.

Trotter-Kato product formulæ[electronic resource] /by Valentin A. Zagrebnov, Hagen Neidhardt, Takashi Ichinose. - Cham :Springer Nature Switzerland :2024. - xx, 873 p. :ill. (some col.), digital ;24 cm. - Operator theory: advances and applications,v. 2962296-4878 ;. - Operator theory: advances and applications ;v.219..

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 as well as similar results on the unitary and Zeno product formulæ. After the Sophus Lie product formula for matrices was established in 1875, it was generalised to Hilbert and Banach spaces for convergence in the strong operator topology by H. Trotter (1959) and then in an extended form by T. Kato (1978) In 1993 Dzh. L. Rogava discovered that convergence of the Trotter product formula takes place in the operator-norm topology. The latter is the main subject of this book, which is dedicated essentially to the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces, but also to related results on the time-dependent, unitary and Zeno product formulæ. The book yields a detailed up-to-date introduction into the subject that will appeal to any reader with a basic knowledge of functional analysis and operator theory. It also provides references to the rich literature and historical remarks.

ISBN: 9783031567209$q(electronic bk.)

Standard No.: 10.1007/978-3-031-56720-9doiSubjects--Topical Terms:

229156
Operator theory.

LC Class. No.: QA329

Dewey Class. No.: 515.724

Trotter-Kato product formulæ
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520 $a 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 as well as similar results on the unitary and Zeno product formulæ. After the Sophus Lie product formula for matrices was established in 1875, it was generalised to Hilbert and Banach spaces for convergence in the strong operator topology by H. Trotter (1959) and then in an extended form by T. Kato (1978) In 1993 Dzh. L. Rogava discovered that convergence of the Trotter product formula takes place in the operator-norm topology. The latter is the main subject of this book, which is dedicated essentially to the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces, but also to related results on the time-dependent, unitary and Zeno product formulæ. The book yields a detailed up-to-date introduction into the subject that will appeal to any reader with a basic knowledge of functional analysis and operator theory. It also provides references to the rich literature and historical remarks.
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