Sentence examples for whose norm from inspiring English sources
The (original) Morrey space L p, λ ( R N ) with 1 ≤ p < ∞ and 0 < λ ≤ N is a normed space whose norm is given by ∥ f ∥ L p, λ ≡ sup x ∈ R N, r > 0 ( 1 r N − λ ∫ B ( x, r ) | f ( y ) | p d y ) 1 p for f ∈ L loc p ( R N ).
A Riesz space ((X,succcurlyeq)) is called a normed Riesz space if X is a normed linear space whose norm (|cdot|) is a compatible with the partial order ≽ in the sense that (|x|geqslant |y|) holds for every (x,yin X) with (|x|succcurlyeq|y|), where (|z|= zveemathbf{0})+ -zveemathbf{0})) for every (zin X).
Assume that is a bounded linear transformation, whose norm is denoted by, satisfying (3.1).
Let X be a uniformly convex Banach space whose norm is Fréchet differentiable.
Let be a Banach space whose norm is uniformly Gâteaux differentiable, and satisfies the condition (C2).
Photography is in the service of the post judgmental ethos gaining ascendancy in societies whose norms are drawn from the practices of consumerism.
All across Oberlin — a school whose norms may run a little to the left of Bernie Sanders — there was instead talk about "allyship": a more contemporary answer to the challenges of pluralism.
She was a jazz-forged performer in an industry whose norms and ways were falling before the new styles of the almighty teen; she was a hot performer, one of the most ferociously intense, in an era that turned McLuhan-esque cool; she needed Douglas Sirk to transfigure the melodramatic excesses from camp into symbol, but he left Hollywood in 1959.
Hence, IBVP (1.1) has at least three solutions in X whose norms are less than σ.
has at least three solutions in X whose norms are less than ρ.
