Note on a product formula for unitary groups

Vincent Cachia

doi:10.1112/S0024609305004479

Note on a product formula for unitary groups

泛函分析 2008-08-04 v1

作者: Vincent Cachia

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摘要

For any nonnegative self-adjoint operators A and B in a separable Hilbert space, we show that the Trotter-type formula $[(e^{i2tA/n}+e^{i2tB/n})/2]^n$ converges strongly in the closure of the intersection of the domains of A^{1/2} and B^{1/2}, along some subsequence and for almost every real number t. This result extends to the degenerate case and to Kato-functions following the method of Kato.

关键词

operator theory on hilbert spaces hilbert functions operator theory

引用

@article{arxiv.math/0404409,
  title  = {Note on a product formula for unitary groups},
  author = {Vincent Cachia},
  journal= {arXiv preprint arXiv:math/0404409},
  year   = {2008}
}

备注

5 pages, submitted to the London Math. Soc

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