...— the [[Stone–Čech compactification|Stone–Čech compactification]] — is the algebra $M ( A )$ of multipliers of $A$, defined by R.C. Busby in 1967 [[#Reference
...{ * }$-algebra of double centralizers of $A$ and the concrete $C ^ { * }$-algebra $M ( A )$. This, in particular, shows that $M ( A )$ is independent of the
17 KB (2,644 words) - 17:46, 1 July 2020
ii) considering the interior $\Theta ( \mu )$ of the convex set of those $\theta \in E ^ { * }$ such tha
...xponential family by the mean. The domain of the means is contained in the interior $C _ { F }$ of the convex hull of the support of $F$. When $C _ { F } = M _
10 KB (1,596 words) - 15:30, 1 July 2020
...nts of the form (2) are given not only at the end points, but also at some interior points of $ a \leq x \leq b $.
...1]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from Russian)<
7 KB (1,036 words) - 19:36, 5 June 2020
...is denoted by $\beta\omega$. Here, $\mathcal{P}(\omega)$ is the power set algebra of $\omega$ and $\text{fin}$ denotes its ideal of finite sets. The points i
...ality of the continuum]]) in which non-empty $G_\delta$ sets have infinite interior (for short, a Parovichenko space). This theorem had wide applications both
11 KB (1,671 words) - 21:29, 19 November 2017
and the operator of interior multiplication $ i _ {X} $(
...ion" ''Progress in Math.'' , '''6''' (1970) pp. 229–269 ''Itogi. Nauk. Algebra Topol. Geom. 1965'' (1967) pp. 429–465</TD></TR><TR><TD valign="top">[3
9 KB (1,337 words) - 22:16, 5 June 2020
...he foundations of ancient mathematics: elementary geometry, number theory, algebra, the general theory of proportion, and a method for the determination of ar
...ght lines lying in the same plane intersect a third, and if the sum of the interior angles on one side of the latter is less than the sum of two right angles,
9 KB (1,351 words) - 20:43, 26 November 2016
...undamental frequency; it does not reduce torsional rigidity or the maximal interior conformal radius (see [[#References|[3]]]).
...op">[a5]</TD> <TD valign="top"> M. Marcus, "Finite dimensional multilinear algebra" , '''1''' , M. Dekker (1973) pp. 78ff {{MR|0352112}} {{ZBL|0284.15024}} </
8 KB (1,112 words) - 08:24, 6 June 2020
dimensional if and only if it contains interior points with respect to $ E ^ {n} $.
containing interior points (with respect to $ E ^ {n} $).
38 KB (5,928 words) - 19:35, 5 June 2020
...et of all holomorphic vector fields on $\textbf{D}$ is a [[Lie algebra|Lie algebra]] under the commutator bracket
For absolutely convex domains, interior flow invariance conditions can be given in terms of their support functiona
24 KB (3,989 words) - 20:19, 11 January 2021
is the operation of interior multiplication (contraction), is called the polar system of the integral el
...been generalized to arbitrary differential systems given by ideals in the algebra of differential forms on a manifold (the Cartan–Kähler theorem).
17 KB (2,624 words) - 19:27, 9 January 2024
...manifold with boundary (for example, an operator from the Boutet de Monvel algebra, [[#References|[10]]], [[#References|[11]]]) at a boundary point means inve
is an interior point of $ X $)
12 KB (1,764 words) - 05:06, 24 February 2022
The search for interior points of the spectrum of a sparse matrix $ A $
...processes to compute eigen values of a large sparse matrix (not only "the interior points" ). The interesting aspect is that the computed vectors by no means
19 KB (2,830 words) - 19:42, 27 February 2021
the finite plane) and the interior of the unit disc $ D = \{ {z} : {| z | < 1} \} $ (
in the case of the interior of the unit disc, $ G $
22 KB (3,307 words) - 17:02, 17 December 2019
...and, more generally, to the open unit ball $U$ of a so-called $J ^ { * }$-algebra (see [[#References|[a37]]], [[#References|[a25]]] and the references there)
...se, if $F \in \operatorname{Hol} ( {\cal D} )$ is not the identity, has an interior fixed point and is power convergent, then $c$ is unique. However, this is n
20 KB (3,130 words) - 07:34, 8 February 2024
The branch of topology and algebra concerned with braids, the groups formed by their equivalence classes and v
the interior of which contains $ \omega $.
24 KB (3,637 words) - 08:41, 26 March 2023
...al X $ can be transformed by means of an element of $ \Gamma $ into an interior point of $ X $ or into a pseudo-concave point of the boundary $ \parti
...oup with Lie algebra $ \mathfrak g $ . Identify the universal enveloping algebra $ U \mathfrak g $ of $ \mathfrak g $ with the right-invariant differe
17 KB (2,502 words) - 06:16, 12 July 2022
with an interior point in $ B $
...in the theory of locally convex spaces is played by methods of homological algebra connected with the study of the category of locally convex spaces and their
18 KB (2,674 words) - 22:17, 5 June 2020
.... Soviet Math.'' , '''14''' (1980) pp. 1363–1407 ''Itogi Nauk. i Tekhn. Algebra Topol. Geom.'' , '''15''' (1977) pp. 93–171</TD></TR>
c) A strongly pseudo-convex domain can be written as the interior of the intersection of a properly decreasing family of strongly pseudo-conv
19 KB (2,892 words) - 07:31, 11 May 2024
and its closure is contained in the interior of the subspace $ A $,
...rticular, it is possibly to give a new proof of the fundamental theorem of algebra.
23 KB (3,393 words) - 08:51, 25 April 2022
...formally equivalent either to the Riemann sphere, the complex plane or the interior of the unit disc. In the first case the algebraic function is a rational, i
...align="top">[1]</TD> <TD valign="top"> O. Zariski, P. Samuel, "Commutative algebra" , '''1''' , Springer (1975) {{MR|0389876}} {{MR|0384768}} {{ZBL|0313.13001
20 KB (3,036 words) - 07:17, 15 June 2022