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: 7

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
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Reciprocity theorems in the theory of representations of groups and algebras

100%
Wawrzyńczyk A.
Instytut Matematyczny Polskiej Akademii Nauk
EN
Contents Introduction .............................................................................................................................................................................. 5 1. Regular representations of algebras with approximate unit. A duality theorem..................................................... 9 2. Induced representations of algebras. The main duality............................................................................................. 20 3. Specialization; differentiable induced representations of Yamabe groups............................................................ 24 4. Unitary induced representations of groups................................................................................................................... 31 5. Induced representations of Banach algebras............................................................................................................... 39 6. The Frobenius reciprocity in the theory of square-integrable representations of Hilbert algebras.................... 45 References............................................................................................................................................................................... 59
2
Content available remote

Schur Lemma and the Spectral Mapping Formula

95%
Wawrzyńczyk A.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2007
|
tom 55
|
nr 1
63-69
EN
Let B be a complex topological unital algebra. The left joint spectrum of a set S ⊂ B is defined by the formula $σ_l(S)$ = {$(λ(s))_{s∈ S} ∈ ℂ^S | {s-λ(s)}_{s∈S}$ generates a proper left ideal}$. Using the Schur lemma and the Gelfand-Mazur theorem we prove that $σ_l(S)$ has the spectral mapping property for sets S of pairwise commuting elements if (i) B is an m-convex algebra with all maximal left ideals closed, or (ii) B is a locally convex Waelbroeck algebra. The right ideal version of this result is also valid.
3
Content available remote

On ideals consisting of topological zero divisors

95%
Wawrzyńczyk A.
Studia Mathematica
|
2000
|
tom 142
|
nr 3
245-251
EN
The class ω(A) of ideals consisting of topological zero divisors of a commutative Banach algebra A is studied. We prove that the maximal ideals of the class ω(A) are of codimension one.
4
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc

61%
Sołtysiak A., Wawrzyńczyk A.
Commentationes Mathematicae
|
2012
|
tom 52
|
nr 1
EN
Agrafeuil and Zarrabi in [1] characterized all closed ideals with at most countable hull in a unital Banach algebra embedded in the classical disc algebra and satisfying certain conditions ((H1), (H2), (H3)), and the analytic Ditkin condition. We modify Ditkin’s condition and show that analogous result is true for a wider class of algebras. This is an extension of the result obtained in [1].
5
Content available remote

An approach to joint spectra

61%
Meléndez A. M., Wawrzyńczyk A.
Annales Polonici Mathematici
|
1999
|
tom 72
|
nr 2
131-144
EN
For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.
6
Content available remote

Standard ideals in convolution Sobolev algebras on the half-line

61%
Galé J., Wawrzyńczyk A.
Colloquium Mathematicum
|
2011
|
tom 124
|
nr 1
23-34
EN
We study the relation between standard ideals of the convolution Sobolev algebra $𝓣₊^{(n)}(tⁿ)$ and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in $𝓣₊^{(n)}(tⁿ)$ with compact and countable hull are standard.
7
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Closed ideals in a new class of algebras of holomorphic functions on the disc

61%
Merino-Cruz H., Wawrzyńczyk A.
Commentationes Mathematicae
|
2014
|
tom 54
|
nr 1
EN
We define a new class of Banach algebras of holomorphic functions on the unit disc \(\mathbb{D}\) which contains the algebras studied in [GMR2] and [GW]. To a function G of the class \(\mathcal{A}^1 (\mathbb{D})\) nowhere vanishing in \(\mathbb{D}\) we associate a Banach algebra \(\mathcal{A}^n_G (\mathbb{D})\) contained in the disc algebra \(\mathcal{A}(\mathbb{D})\). We prove that all closed ideals of \(\mathcal{A}^n_G (\mathbb{D})\) of at most countable hull are of the standard form.
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.