Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 4

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

On the ideal structure of algebras of LMC-algebra valued functions

100%
Arhippainen J.
Studia Mathematica
|
1991-1992
|
tom 101
|
nr 3
311-318
EN
Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
2
Content available remote

On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem

63%
Arhippainen J., Kauppi J.
Studia Mathematica
|
2013
|
tom 215
|
nr 1
71-98
EN
We develop the theory of Segal algebras of commutative C*-algebras, with an emphasis on the functional representation. Our main results extend the Gelfand-Naimark Theorem. As an application, we describe faithful principal ideals of C*-algebras. A key ingredient in our approach is the use of Nachbin algebras to generalize the Gelfand representation theory.
3
Content available remote

Generalization of the topological algebra $(C_{b}(X),β)$

63%
Arhippainen J., Kauppi J.
Studia Mathematica
|
2009
|
tom 191
|
nr 3
247-262
EN
We study subalgebras of $C_{b}(X)$ equipped with topologies that generalize both the uniform and the strict topology. In particular, we study the Stone-Weierstrass property and describe the ideal structure of these algebras.
4
Content available remote

Description of quotient algebras in function algebras containing continuous unbounded functions

51%
Abel M., Arhippainen J., Kauppi J.
Open Mathematics
|
2012
|
tom 10
|
nr 3
1060-1066
EN
Let X be a completely regular Hausdorff space, $$\mathfrak{S}$$ a cover of X, and $$C_b (X,\mathbb{K};\mathfrak{S})$$ the algebra of all $$\mathbb{K}$$ -valued continuous functions on X which are bounded on every $$S \in \mathfrak{S}$$ . A description of quotient algebras of $$C_b (X,\mathbb{K};\mathfrak{S})$$ is given with respect to the topologies of uniform and strict convergence on the elements of $$\mathfrak{S}$$ .
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.