''of a normal topological space $X$''
...e n$. If $\mathrm{locdim}(X) \le n$ for some $n$, then the local dimension of $X$ is finite, so one writes $\mathrm{locdim}(X) < \infty$ and puts
2 KB (304 words) - 21:59, 9 December 2014
$#A+1 = 119 n = 0
$#C+1 = 119 : ~/encyclopedia/old_files/data/P075/P.0705150 Projection spectrum
14 KB (2,029 words) - 19:53, 3 February 2021
...integral operator on the space of functions which are square-summable on $[a,b]$ is
A non-linear Volterra integral operator is an operator of the form
2 KB (370 words) - 19:05, 27 April 2014
...\operatorname{Hilb}(P_k^n/k)$ is in one-to-one correspondence with the set of closed subvarieties in $P_k^n$.
...ojective over $S$. The scheme $\operatorname{Hilb}(X/S)$ is the direct sum of the schemes $\operatorname{Hilb}^P(X/S)$ over all $P\in\mathbf Q(z)$. For a
3 KB (484 words) - 05:48, 17 April 2024
...operator]], then so is $B$; if $A$ and $B$ are bounded operators, then $\|A\|=\|B\|$.
...cient condition for the unitary equivalence of operators with a pure point spectrum.
3 KB (374 words) - 11:04, 22 August 2014
$#A+1 = 36 n = 0
A topological space $ M $
4 KB (616 words) - 19:33, 20 January 2021
$#A+1 = 106 n = 0
$#C+1 = 106 : ~/encyclopedia/old_files/data/M062/M.0602540 Markov spectrum problem
10 KB (1,413 words) - 07:59, 6 June 2020
...l operators is one of the few well-developed spectral theories for a class of non-self-adjoint operators. For the latter, see [[#References|[a3]]].
...r–Shaw inequality: If $T$ is a hyponormal operator (i.e. $[T^*,T]\geq 0$), of finite rational cyclicity $r(T)$, then:
6 KB (970 words) - 07:33, 18 March 2023
Out of 30 formulas, 30 were replaced by TEX code.-->
...all infinitely smooth functions with compact support in $\Omega$. This is a symmetric operator, and the associated quadratic form (with the same domain
4 KB (579 words) - 19:34, 7 February 2024
Out of 60 formulas, 60 were replaced by TEX code.-->
...]] and [[#References|[a4]]]), in studying homotopy classes of mappings out of various classifying spaces ([[#References|[a3]]], [[#References|[a10]]] and
7 KB (996 words) - 11:15, 20 January 2021
$#A+1 = 29 n = 0
A quantum-mechanical system consisting of a nucleus of mass $ M $
5 KB (757 words) - 19:32, 22 March 2024
...rom an automorphism $S$ of a [[Measure space|measure space]] $(X,\nu)$ and a measurable function $f$ (defined on $X$ and taking positive values)''
...s measure. The motion takes place in such a way that the second coordinate of $(x,s)$ increases with unit speed until it reaches the value $f(x)$, and th
2 KB (367 words) - 14:04, 30 August 2014
Out of 57 formulas, 56 were replaced by TEX code.-->
...gether with a strong excision axiom (i.e. $p : ( X , A ) \rightarrow ( X / A , * )$ induces an isomorphism in homology).
8 KB (1,134 words) - 17:46, 1 July 2020
$#A+1 = 59 n = 1
...e operator on a Hilbert space is a [[Linear operator|linear operator]] $ A $
7 KB (1,026 words) - 08:07, 6 June 2020
$#A+1 = 52 n = 0
...this family contained in such subspaces. More precisely, let $ {\mathcal A} $
9 KB (1,382 words) - 08:22, 6 June 2020
$#A+1 = 47 n = 0
''(in group theory)''
4 KB (568 words) - 14:10, 31 December 2020
$#A+1 = 125 n = 0
...the spectrum and its main parts, spectral multiplicity and the asymptotics of eigenvalues.
16 KB (2,424 words) - 08:22, 6 June 2020
$#A+1 = 52 n = 0
A mapping $ A $
4 KB (571 words) - 06:29, 30 May 2020
$#A+1 = 36 n = 0
...6 : ~/encyclopedia/old_files/data/S086/S.0806350 Spectral decomposition of a linear operator
5 KB (793 words) - 08:22, 6 June 2020
...tal in solid state quantum physics, this conjecture becomes in mathematics a problem in
[[Spectral theory|spectral theory]] for a Schrödinger operator (cf. also
8 KB (1,239 words) - 16:33, 4 December 2017