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Trotter-Kato Product Formulæ

By Zagrebnov, Valentin A.

Trotter-Kato Product Formulæ Mathematics

Trotter-Kato Product Formulæ

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Description
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.
Product details
Binding:
Paperback
Number of Pages:
896
Release Date:
2025-06-13
Publication Date:
2025-06-13
Publisher:
Springer Nature Switzerland
Languages:
Original: English
ISBN10:
3031567226
ISBN13:
9783031567223
GPSR Manufacturer Reference:
[email protected]
Weight:
1329 g
Height:
155 cm
Width:
235 cm
Thickness:
48 cm
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