Sentence examples for minimal normal extension from inspiring English sources

We also show thatTis subnormal and that its minimal normal extension is also jointly isometric.

Let S be a subnormal operator whose minimal normal extension has scalar valued spectral measure μ such that P∞ = H∞ D).

The proof of the main theorem consists of verifying a moment condition and yields, in addition, the construction of a measure μ that exhibits Cgj∗ as multiplication by an analytic function on P2 and the identification of the minimal normal extension as a weighted sum of shifts.

If A denotes area measure on the disc D and if S = Mz on P2 dA) then S ϵ Aℵ0; on the other hand, if μ = ¦dz¦Γ + dA for some arc Γ on ∂D, we show Mz on P2 is an element of A1/A2, while its minimal normal extension, Mz on L2, is in Aℵ0.

Does it do what normal extension cords do?

Take a minimal normal subgroup (L) of (G).

Denote by (M_i) the unique minimal normal subgroup of (G_{i+1}).

If (Nle P) and (N) is minimal normal in (G), then (|N|le |D|).

Step 6. Suppose that (Nle P) and (N) is minimal normal in (G).

Hence, every minimal normal subgroup of G ¯ is non-solvable, as desired.

Take a minimal normal subgroup (N) of (G) contained in (O_{p}(G)).