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    Wyświetlanie 1-13 z 13
    Tytuł:
    Commutators based on the Calderón reproducing formula
    Autorzy:
    Nowak, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/1292914.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Schatten-Lorentz ideal
    wavelet
    Hankel operator
    Opis:
    We prove the Schatten-Lorentz ideal criteria for commutators of multiplications and projections based on the Calderón reproducing formula and the decomposition theorem for the space of symbols corresponding to commutators in the Schatten ideal.
    Źródło:
    Studia Mathematica; 1993, 104, 3; 285-306
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Unconditional ideals in Banach spaces
    Autorzy:
    Godefroy, G.
    Kalton, N.
    Saphar, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1292973.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    M-ideal
    hermitian operator
    unconditional convergence
    Opis:
    We show that a Banach space with separable dual can be renormed to satisfy hereditarily an "almost" optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition $X*** = X^{⊥} ⊕ X*$ is unconditional. Motivated by this result, we define a subspace X of a Banach space Y to be an h-ideal (resp. a u-ideal) if there is an hermitian projection P (resp. a projection P with ∥I-2P∥ = 1) on Y* with kernel $X^{⊥}$. We undertake a general study of h-ideals and u-ideals. For example we show that if a separable Banach space X is an h-ideal in X** then X has the complex form of Pełczyński's property (u) with constant one and the Baire-one functions Ba(X) in X** are complemented by an hermitian projection; the converse holds under a compatibility condition which is shown to be necessary. We relate these ideas to the more familiar notion of an M-ideal, and to Banach lattices. We further investigate when, for a separable Banach space X, the ideal of compact operators K(X) is a u-ideal or an h-ideal in ℒ(X) or K(X)**. For example, we show that K(X) is an h-ideal in K(X)** if and only if X has the "unconditional compact approximation property" and X is an M-ideal in X**.
    Źródło:
    Studia Mathematica; 1993, 104, 1; 13-59
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An example of a Fréchet algebra which is a principal ideal domain
    Autorzy:
    Carboni, Graciela
    Larotonda, Angel
    Powiązania:
    https://bibliotekanauki.pl/articles/1206135.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Fréchet algebra
    principal ideal domain
    quasi-analytic class
    Opis:
    We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.
    Źródło:
    Studia Mathematica; 2000, 138, 3; 265-275
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Structure spaces for rings of continuous functions with applications to realcompactifications
    Autorzy:
    Redlin, Lothar
    Watson, Saleem
    Powiązania:
    https://bibliotekanauki.pl/articles/1205448.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    ring of continuous functions
    maximal ideal
    ultrafilter
    realcompactification
    Opis:
    Let X be a completely regular space and let A(X) be a ring of continuous real-valued functions on X which is closed under local bounded inversion. We show that the structure space of A(X) is homeomorphic to a quotient of the Stone-Čech compactification of X. We use this result to show that any realcompactification of X is homeomorphic to a subspace of the structure space of some ring of continuous functions A(X).
    Źródło:
    Fundamenta Mathematicae; 1997, 152, 2; 151-163
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized projections of Borel and analytic sets
    Autorzy:
    Balcerzak, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/966886.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    meager set
    Effros Borel structure
    analytic set
    σ-ideal
    Opis:
    For a σ-ideal I of sets in a Polish space X and for A ⊆ $X^2$, we consider the generalized projection (A) of A given by (A) = {x ∈ X: A_x ∉ I}, where $A_x$ ={y ∈ X: 〈x,y〉∈ A}. We study the behaviour of with respect to Borel and analytic sets in the case when I is a $∑_{2}^{0}$-supported σ-ideal. In particular, we give an alternative proof of the recent result of Kechris showing that [$∑_{1}^{1}(X^2)]=∑_{1}^{1}(X)$ for a wide class of $∑_{2}^{0}$-supported σ-ideals.
    Źródło:
    Colloquium Mathematicum; 1996, 71, 1; 47-53
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A characterization of maximal regular ideals in lmc algebras
    Autorzy:
    Fragoulopoulou, Maria
    Powiązania:
    https://bibliotekanauki.pl/articles/1293115.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    symmetric lmc*-algebra
    LFQ-algebra
    maximal ideal space
    Lindelöf space
    Opis:
    A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
    Źródło:
    Studia Mathematica; 1992, 103, 1; 41-49
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Strong Fubini properties of ideals
    Autorzy:
    Recław, Ireneusz
    Zakrzewski, Piotr
    Powiązania:
    https://bibliotekanauki.pl/articles/1205274.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Polish space
    Strong Fubini Property
    σ-ideal
    cardinal coefficients
    measurability
    Opis:

     Let I and J be σ-ideals on Polish spaces X and Y, respectively. We say that the pair ⟨I,J⟩ has the Strong Fubini Property (SFP) if for every set D ⊆ X× Y with measurable sections, if all its sections $D_x = {y: ⟨x,y⟩ ∈ D}$ are in J, then the sections $D^y = {x: ⟨x,y⟩ ∈ D}$ are in I for every y outside a set from J (``measurable" means being a member of the σ-algebra of Borel sets modulo sets from the respective σ-ideal). We study the question of which pairs of σ-ideals have the Strong Fubini Property. Since CH excludes this phenomenon completely, sufficient conditions for SFP are always independent of ZFC.
     We show, in particular, that:
     • if there exists a Lusin set of cardinality the continuum and every set of reals of cardinality the continuum contains a one-to-one Borel image of a non-meager set, then ⟨MGR(X), J⟩ has SFP for every J generated by a hereditary $п^1_1$ (in the Effros Borel structure) family of closed subsets of Y (MGR(X) is the σ-ideal of all meager subsets of X),
     • if there exists a Sierpiński set of cardinality the continuum and every set of reals of cardinality the continuum contains a one-to-one Borel image of a set of positive outer Lebesgue measure, then $⟨NULL_μ, J⟩$ has SFP if either $J= NULL_ν$ or J is generated by any of the following families of closed subsets of Y ($NULL_μ$ is the σ-ideal of all subsets of X having outer measure zero with respect to a Borel σ-finite continuous measure μ on X):
     (i) all compact sets,
     (ii) all closed sets in $NULL_ν$ for a Borel σ-finite continuous measure ν on Y,
     (iii) all closed subsets of a $п^1_1$ set A ⊆ Y.
    Źródło:
    Fundamenta Mathematicae; 1999, 159, 2; 135-152
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Conical measures and properties of a vector measure determined by its range
    Autorzy:
    Rodríguez-Piazza, L.
    Romero-Moreno, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1219104.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    vector measures
    range
    conical measures
    operator ideal norms
    Pettis integral
    Opis:
    We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability is not determined by the range and study when every measure having the same range of a given measure has a Pettis derivative.
    Źródło:
    Studia Mathematica; 1997, 125, 3; 255-270
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Lie algebras of vector fields related to Riemannian foliations
    Autorzy:
    Rybicki, Tomasz
    Powiązania:
    https://bibliotekanauki.pl/articles/1311816.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Riemannian foliation
    Lie algebra
    ideal
    isomorphism
    vector field
    generalized manifold
    stratification
    Opis:
    Riemannian foliations constitute an important type of foliated structures. In this note we prove two theorems connecting the algebraic structure of Lie algebras of foliated vector fields with the smooth structure of a Riemannian foliation.
    Źródło:
    Annales Polonici Mathematici; 1993, 58, 2; 111-122
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Partial integral operators in Orlicz spaces with mixed norm
    Autorzy:
    Appell, J.
    Kalitvin, A.
    Zabreĭko, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/966114.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Lebesgue space
    ideal space
    Orlicz space
    partial integral operator
    mixed norm
    Źródło:
    Colloquium Mathematicum; 1998, 78, 2; 293-306
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Spectrum of commutative Banach algebras and isomorphism of C*-algebras related to locally compact groups
    Autorzy:
    Hu, Zhiguo
    Powiązania:
    https://bibliotekanauki.pl/articles/1218426.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    spectrum
    synthesizable ideal
    locally compact group
    Fourier algebra
    Figà-Talamanca-Herz algebra
    amenability
    Opis:
    Let A be a semisimple commutative regular tauberian Banach algebra with spectrum $Σ_A$. In this paper, we study the norm spectra of elements of $\overline{span} Σ_A$ and present some applications. In particular, we characterize the discreteness of $Σ_A$ in terms of norm spectra. The algebra A is said to have property (S) if, for all $φ ∈ \overline{\span} Σ_A \ {0}$, φ has a nonempty norm spectrum. For a locally compact group G, let $ℳ_2^{d}(Ĝ)$ denote the C*-algebra generated by left translation operators on $L^2(G)$ and $G_{d}$ denote the discrete group G. We prove that the Fourier algebra $A(G)$ has property (S) iff the canonical trace on $ℳ_2^{d}(Ĝ)$ is faithful iff $ℳ_2^{d} (Ĝ)≅ ℳ_2^{d} (Ĝ_{d})$. This provides an answer to the isomorphism problem of the two C*-algebras and generalizes the so-called "uniqueness theorem" on the group algebra $L^1(G)$ of a locally compact abelian group G. We also prove that $G_{d}$ is amenable iff G is amenable and the Figà-Talamanca-Herz algebra $A_p(G)$ has property (S) for all p.
    Źródło:
    Studia Mathematica; 1998, 129, 3; 207-223
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Pointwise multiplication operators on weighted Banach spaces of analytic functions
    Autorzy:
    Bonet, J.
    Domański, P.
    Lindström, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1216221.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    weighted Banach spaces of analytic functions
    pointwise multiplication operator
    essential norm, closed range
    approximative point spectrum
    maximal ideal space of $H^∞$
    Shilov boundary
    Gleason part
    hypercyclic operator
    chaotic operator
    Opis:
    For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator $M_φ$, $M_φ(f)=φf$, on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when $M'_φ$ is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map $M'_φ$.
    Źródło:
    Studia Mathematica; 1999, 137, 2; 177-194
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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