Product Formulas, Nonlinear Semigroups, and Addition of Unbounded Operators PDF Download

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Product Formulas, Nonlinear Semigroups, and Addition of Unbounded Operators

Product Formulas, Nonlinear Semigroups, and Addition of Unbounded Operators PDF Author: Paul R. Chernoff
Publisher: American Mathematical Soc.
ISBN: 0821818406
Category : Mathematics
Languages : en
Pages : 130

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Book Description
This work deals with the general theory, both linear and non-linear, of operator semigroup product formulas of the type lim [over] n[right arrow][infinity] F(t/n) [superscript]n = G(t). The principal application is the use of the Trotter-Lie product formula e [superscript]tC = lim [over] n[right arrow][infinity] (e [superscript]t/nA e [superscript]t/nB) [superscript]n to define a generalized addition of semigroup generators, and self-adjoint operators in particular. The properties of generalized addition, both regular and pathological, are discussed.