Sentence examples for spaces 1 from inspiring English sources
end{aligned} Figure 5 Examples for explaining local contractibility of the given two K -topological spaces (1) and (2).
Examples of Banach spaces satisfying this condition are Hilbert spaces and all l p spaces (1 < p < ∞).
Hilbert spaces, L p (or l p ) spaces ( 1 < p < ∞ ) and the Sobolev spaces W m p ( 1 < p < ∞ ) are q-uniformly smooth.
This result was extended by Chidume [23] to real Banach spaces possessing weakly sequential continuous duality maps (e.g., l p spaces, 1 < p < ∞ ).
As we have noted, theses spaces include the L p, l p and W m, p spaces, 1 < p < ∞ and m ≥ 1.
In [13] Osilike extended Qihou's result from Hilbert spaces to much more general real q-uniformly smooth Banach spaces, 1 < q < ∞.
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On the positive side, we prove that contractions on ℓp spaces (1⩽p<∞) possess the Blum–Hanson property.
This unused spectrum leads to temporal and geographic white spaces [1].
The theorem is, in particular, applicable in (L_{p}) and (l_{p}) spaces, (1< p
The following definition plays an important role in the theory of modular function spaces [1].
