Sentence examples for form sums from inspiring English sources

We apply the results to give criteria of essential selfadjointness for quadratic form sums and to give a characterization of w*-continuous, Markovian semigroups on M, which commute with the modular automorphism groupσφ0t.

Earlier results on Trotter product formula for form sums include Chernoff [88, 89, 91], Faris [146] and Kato himself [344].

In this section, we give some closed form sums of (W_{k,t}^{( mathbf{ s} )}[ {mathbf{ m};p} ]) through q-polylogarithms, q-harmonic numbers and other q-series.

We study a partial differential operator H with analytic coefficients, which is of the form "sum of squares".

Let A and B be non-negative self-adjoint operators in a Hilbert space such that their densely defined form sum H=AB obeys dom(Hα)⊆dom(Aα)∩dom(Bα) for some α∈(1/2,1).

It is called the form sum.   3.

Let h be the closed form sum (sum _{j=1}^{nu } -D_j^2+V).

end{aligned} (2.33 Since (1.6) holds the quadratic form (sum _{j,k=1}^{n-1}g_0^{jk}eta _keta _k) is negative definite.

Let (e^{-tdot{C}}) be the semigroup associated to the closed form sum (q_1+q_2).

It is called the form sum. The proof is really simple.

Their form sum (q_C=q_A+q_B) is always a closed form but (V_{q_C}) may not be dense.