$#A+1 = 34 n = 2
$#C+1 = 34 : ~/encyclopedia/old_files/data/T092/T.0902690 Thom spectrum
3 KB (438 words) - 08:25, 6 June 2020
$#A+1 = 20 n = 0
$#C+1 = 20 : ~/encyclopedia/old_files/data/S086/S.0806600 Spectrum of an element
3 KB (528 words) - 08:22, 6 June 2020
Out of 22 formulas, 22 were replaced by TEX code.-->
...t of all isolated eigenvalues with finite multiplicity. H. Weyl proved (in a special case) the following result [[#References|[a4]]], which is now commo
4 KB (564 words) - 17:00, 1 July 2020
$#A+1 = 28 n = 0
$#C+1 = 28 : ~/encyclopedia/old_files/data/L057/L.0507920 Lebesgue spectrum
3 KB (415 words) - 15:28, 28 February 2022
$#A+1 = 62 n = 0
$#C+1 = 62 : ~/encyclopedia/old_files/data/S086/S.0806610 Spectrum of an operator
5 KB (744 words) - 08:22, 6 June 2020
...ariants and spectral properties of the corresponding group (or semi-group) of unitary (isometric) shift operators:
...perator $A$ that is the infinitesimal generator of the one-parameter group of unitary operators $\{U_t\}$ (here $U_t=e^{itA}$, by Stone's theorem).
5 KB (710 words) - 12:58, 16 July 2014
Out of 27 formulas, 27 were replaced by TEX code.-->
Let $X$ be a CW-spectrum (see [[Spectrum of spaces|Spectrum of spaces]]) and consider
3 KB (432 words) - 16:46, 1 July 2020
...Open-closed set|open-and-closed subset]]s of its [[Spectrum of an operator|spectrum]] $\sigma(T)$ by the formula
...n algebras of sets is one of the basic problems in the [[spectral theory]] of linear operators.
1 KB (174 words) - 18:24, 22 April 2016
$#A+1 = 100 n = 0
$#C+1 = 100 : ~/encyclopedia/old_files/data/S110/S.1100230 Spectrum generating algebra,
12 KB (1,660 words) - 08:22, 6 June 2020
$#A+1 = 16 n = 3
$#C+1 = 16 : ~/encyclopedia/old_files/data/B110/B.1100930 Brown\ANDPeterson spectrum
4 KB (633 words) - 08:47, 26 March 2023
$#A+1 = 37 n = 1
$#C+1 = 37 : ~/encyclopedia/old_files/data/Q076/Q.0706460 Quasi\AAhdiscrete spectrum
7 KB (978 words) - 05:56, 19 March 2022
Out of 62 formulas, 62 were replaced by TEX code.-->
...ces $\text{ker } T$ and $\operatorname{coker}T$ have finite dimension. For a semi-Fredholm operator $T$ one defines the index
5 KB (812 words) - 17:00, 1 July 2020
''of an element of a Banach algebra''
...ment]]). The spectral radius of an element $a$ is connected with the norms of its powers by the formula
2 KB (345 words) - 14:46, 21 August 2014
...periodic $A(t)$ and $f(t)$ have also been solved in terms of the spectrum of the monodromy operator.
...ative theory of differential equations in Banach spaces|Qualitative theory of differential equations in Banach spaces]].
1 KB (219 words) - 17:03, 12 August 2014
$#A+1 = 81 n = 2
$#C+1 = 81 : ~/encyclopedia/old_files/data/S086/S.0806620 Spectrum of spaces
9 KB (1,281 words) - 14:40, 21 March 2022
$#A+1 = 28 n = 0
The graded algebra $ A _ {p} $
4 KB (522 words) - 08:23, 6 June 2020
''spectral analysis of a time series''
...f. [[Spectral decomposition of a random function|Spectral decomposition of a random function]]).
2 KB (261 words) - 17:19, 7 February 2011
A mapping $U$ of a metric space $(X,\rho_X)$ into a metric space $(Y,\rho_Y)$ such that
...and $Y$ are real normed linear spaces, $U(X)=Y$ and $U(0)=0$, then $U$ is a linear operator.
2 KB (433 words) - 12:44, 18 August 2014
...s $ (F_{\alpha} \mid \alpha \in \mathfrak{A}) $ ($ \mathfrak{A} $ is a set of indices), i.e. elements $ F_{\alpha} \in \Phi' $ such that for any $ \phi \
...A \phi) = \lambda_{\alpha} {F_{\alpha}}(\phi), \qquad \alpha \in \mathfrak{A},
3 KB (517 words) - 00:44, 16 September 2015
$#A+1 = 34 n = 0
with a periodic function $ p ( z) $;
5 KB (759 words) - 22:10, 5 June 2020