-
linear algebra,
functional analysis and
related areas of mathematics, a
quasinorm is
similar to a norm in that it
satisfies the norm axioms,
except that...
- {\displaystyle L^{p}} spaces, they are
characterized by a norm (technically a
quasinorm) that
encodes information about the "size" of a function, just as the...
- is in Lp(Rn),
where ∗ is
convolution and Φt (x) = t −nΦ(x / t). The Hp-
quasinorm ||f ||Hp of a
distribution f of Hp is
defined to be the Lp norm of MΦf...
- nonnormal, nonnormative, norm, normable, normal, normality, normative,
quasinorm, seminorm, seminormable, seminormal,
subnormal not-
south Gr**** νότος...
- nonnormal, nonnormative, norm, normable, normal, normality, normative,
quasinorm, seminorm, seminormable, seminormal,
subnormal not-
south Gr**** νότος...
- the
function ‖ ⋅ ‖ p {\displaystyle \|\cdot \|_{p}} is an
example of a
quasinorm. An
operator which has a
finite Schatten norm is
called a
Schatten class...
- {\displaystyle \ell ^{p}}
norms ( p ≥ 1 {\displaystyle p\geq 1} ) and
quasinorms ( 0 < p < 1 {\displaystyle 0<p<1} ). For example, for p=1/2 the analogue...
- {\displaystyle H} with | H | = 1 {\displaystyle |H|=1} . We
define the
quasinorm ‖ X ‖ S ( P ) := sup H ∈ E ( 1 ) E [ 1 ∧ ( sup t ∈ [ 0 , T ] | ( H ⋅ X...
- the
space of real-valued
measurable functions on the unit
interval with
quasinorm given by ‖ f ‖ = ∫ I | f ( x ) | 1 + | f ( x ) | d x . {\displaystyle...
