منابع مشابه
Trotter's product formula for projections
where the limit is taken in the strong operator topology (see e.g. Goldstein [G, Theorem 8.12.] or ChernofF [C] for a comprehensive treatment of product formulas). Now let P G £ (E) be a contractive projection. Then we may consider P as a constant degenerate semigroup on E. It is interesting to know under which circumstances the limit in (1) exists if we replace e by P. More precisely, we ask f...
متن کاملTrotter’s product formula for projections
The aim of this paper is to examine the convergence of Trotter’s product formula when one of the C0-semigroups is replaced by a projection (which can always be regarded as a constant degenerate semigroup). The motivation to study Trotter’s formula in this setting arises from the fact that for ’nice’ open sets Ω ∈ R the C0-semigroup on L(Ω) generated by the Laplacian with Dirichlet boundary cond...
متن کاملA Formula for the Jones-wenzl Projections
I present a method of calculating the coe cients appearing in the Jones-Wenzl projections in the Temperley-Lieb algebras. It essentially repeats the approach of Frenkel and Khovanov in [4] published in 1997. I wrote this note mid-2002, not knowing about their work, but then set it aside upon discovering their article. Recently I decided to dust it o and place it on the arXiv — hoping the self-c...
متن کاملZeno product formula revisited
We introduce a new product formula which combines an orthogonal projection with a complex function of a non-negative operator. Under certain assumptions on the complex function the strong convergence of the product formula is shown. Under more restrictive assumptions even operator-norm convergence is verified. The mentioned formula can be used to describe Zeno dynamics in the situation when the...
متن کاملA Formula for the Direct Product of Crossed Product Algebras
tive radius r. Let the center Xo be the sequence {&?}, and let 5 be chosen so large that 2~~ + 2~ s 2 + • • • k Q s. If we define xi as (ki, &2> ' * • » $j j8+i, is+2, • • • ), then xi belongs to K and limn fn(xi) = + °°Consequently xi cannot be a point of Up and this contradiction establishes U as a set of the f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2003
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-003-0537-2