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    Wyświetlanie 1-10 z 10
    Tytuł:
    Topological properties of some spaces of continuous operators
    Autorzy:
    Nowak, Marian
    Powiązania:
    https://bibliotekanauki.pl/articles/729596.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    spaces of vector-valued continuous functions
    strict topologies
    operator measures
    topology of simple convergence
    continuous operators
    Opis:
    Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let $C_b(X,E)$ be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study topological properties of the space $L_{β}(C_{b}(X,E),F)$ of all $(β,||·||_{F})$-continuous linear operators from $C_{b}(X,E)$ to F, equipped with the topology $τ_{s}$ of simple convergence. If X is a locally compact paracompact space (resp. a P-space), we characterize $τ_{s}$-compact subsets of $L_{β}(C_{b}(X,E),F)$ in terms of properties of the corresponding sets of the representing operator-valued Borel measures. It is shown that the space $(L_{β}(C_{b}(X,E),F),τ_{s})$ is sequentially complete if X is a locally compact paracompact space.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 1; 79-86
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extension Gevrey et rigidité dans un secteur
    Autorzy:
    Thilliez, Vincent
    Powiązania:
    https://bibliotekanauki.pl/articles/1288536.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Gevrey classes
    continuous extension operators
    sequences of uniqueness
    rigidity
    Opis:
    We study a rigidity property, at the vertex of some plane sector, for Gevrey classes of holomorphic functions in the sector. For this purpose, we prove a linear continuous version of Borel-Ritt's theorem with Gevrey conditions
    Źródło:
    Studia Mathematica; 1995-1996, 117, 1; 29-41
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On operator ideals related to (p,σ)-absolutely continuous operators
    Autorzy:
    López Molina, J. A.
    Sánchez Pérez, E. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1206151.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    tensor norms
    operator ideals
    (p,σ)-absolutely continuous operators
    $g_{p,σ}$-nuclear and $g_{p,σ}$ integral operators
    Opis:
    We study tensor norms and operator ideals related to the ideal $P_{p,σ}$, 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with $P_{p,σ}$ (in the sense of Defant and Floret), we characterize the $(α')^t$-nuclear and $(α')^t$- integral operators by factorizations by means of the composition of the inclusion map $L^r(μ) → L^1(μ) + L^p(μ)$ with a diagonal operator $B_w:L^{∞}(μ) → L^r(μ)$, where r is the conjugate exponent of p'/(1-σ). As an application we study the reflexivity of the components of the ideal $P_{p,σ}$.
    Źródło:
    Studia Mathematica; 2000, 138, 1; 25-40
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On one condition of absolutely continuous spectrum for self-adjoint operators and its applications
    Autorzy:
    Ianovich, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/254841.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    self-adjoint operators absolutely continuous spectrum
    equi-absolute continuity
    spectral density
    Jacobi matrices
    Opis:
    In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of a self-adjoint operator A by a sequence of operators An with absolutely continuous spectrum on a given interval [a, b] which converges to A in a strong sense on a dense set. The notion of equi-absolute continuity is also used. It was found a sufficient condition of absolute continuity of the operator A spectrum on the finite interval [a, b] and the condition for that the corresponding spectral density belongs to the class Lp[a,b] (p ≥ 1). The application of this method to Jacobi matrices is considered. As one of the results we obtain the following assertion: Under some mild assumptions, suppose that there exist a constant C > 0 and a positive function g(x) ∈ Lp[a, b] (p ≥ 1).such that for all n sufficiently large and almost all [formula] the estimate [formula] holds, where Pn(x) are 1st type polynomials associated with Jacobi matrix (in the sense of Akhiezer) and bn is a second diagonal sequence of Jacobi matrix. Then the spectrum of Jacobi matrix operator is purely absolutely continuous on [a, b] and for the corresponding spectral density ƒ (x) we have ƒ (x) ∈ Lp[a,b].
    Źródło:
    Opuscula Mathematica; 2018, 38, 5; 699-718
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stabilité du spectre ponctuel dopérateurs de Toeplitz généralisés
    Autorzy:
    Nikolskaia, Lioudmila
    Powiązania:
    https://bibliotekanauki.pl/articles/1288866.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Toeplitz and Wiener-Hopf operators
    multipliers
    quasi-continuous functions
    Opis:
    A general scheme based on a commutation relation is proposed to give rise to a definition of generalized Toeplitz operators on a Banach space. Under suitable conditions the existence of a symbol is proved and its continuation to algebras generated by generalized Toeplitz operators is constructed. A stability theorem for the point spectrum of an operator from generalized Toeplitz algebras is established; as examples one considers the standard and operator valued Toeplitz operators on weighted Hardy spaces and on spaces of functions (distributions) with weighted $l^p$ Fourier transforms.
    Źródło:
    Studia Mathematica; 1995, 116, 1; 1-22
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Singular continuous spectrum of half-line Schrodinger operators with point interactions on a sparse set
    Autorzy:
    Lotoreichik, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/254871.pdf
    Data publikacji:
    2011
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    half-line Schrodinger operators
    delta-interactions
    singular continuous spectrum
    Opis:
    We say that a discrete set X = {xn}n ∈ N0 on the half-line 0 = x0 < x1 < x2 < x3 < ⋅ ⋅ ⋅< xn < ⋅ ⋅ ⋅,< +∞ is sparse if the distances Δxn = xn+1-xn between neighbouring points satisfy the condition [formula]. In this paper half-line Schrödinger operators with point δ- and δ'- interactions on a sparse set are considered. Assuming that strengths of point interactions tend to ∞ we give simple sufficient conditions for such Schrödinger operators to have non-empty singular continuous spectrum and to have purely singular continuous spectrum, which coincides with R+.
    Źródło:
    Opuscula Mathematica; 2011, 31, 4; 615-628
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Weakly precompact operators on $C_{b}(X,E)$ with the strict topology
    Autorzy:
    Stochmal, Juliusz
    Powiązania:
    https://bibliotekanauki.pl/articles/729586.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    spaces of vector-valued continuous functions
    strict topologies
    operator measures
    strongly bounded operators
    weakly precompact operators
    Opis:
    Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let $C_{b}(X,E)$ be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operators $T:C_{b}(X,E) → F$. In particular, we show that if X is a paracompact k-space and E contains no isomorphic copy of l¹, then every strongly bounded operator $T:C_{b}(X,E) → F$ is weakly precompact.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 1; 65-77
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Spontaneous decay of level from spectral theory point of view
    Autorzy:
    Ianovich, Eduard
    Powiązania:
    https://bibliotekanauki.pl/articles/2048989.pdf
    Data publikacji:
    2021
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    spectral theory
    quantum field theory
    self-adjoint operators
    absolutely continuous spectrum
    spontaneous decay
    Opis:
    In quantum field theory it is believed that the spontaneous decay of excited atomic or molecular level is due to the interaction with continuum of field modes. Besides, the atom makes a transition from upper level to lower one so that the probability to find the atom in the excited state tends to zero. In this paper it will be shown that the mathematical model in single-photon approximation may predict another behavior of this probability generally. Namely, the probability to find the atom in the excited state may tend to a nonzero constant so that the atom is not in the pure state finally. This effect is due to that the spectrum of the complete Hamiltonian is not purely absolutely continuous and has a discrete level outside the continuous part. Namely, we state that in the corresponding invariant subspace, determining the time evolution, the spectrum of the complete Hamiltonian when the field is considered in three dimensions may be not purely absolutely continuous and may have an eigenvalue. The appearance of eigenvalue has a threshold character. If the field is considered in two dimensions the spectrum always has an eigenvalue and the decay is absent.
    Źródło:
    Opuscula Mathematica; 2021, 41, 6; 849-859
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense
    Autorzy:
    Ereu, T.
    Merentes, N.
    Sanchez, J. L.
    Wróbel, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255979.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Phi-variation in the sense of Schramm
    uniformly continuous operator
    regularization
    composition operator
    Jensen equation
    locally defined operators
    Opis:
    We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized Φ-variation in the Schramm sense is affine. A composition operator is locally defined. We show that every locally defined operator mapping the space of continuous functions of bounded (in the sense of Jordan) variation into the space of continous monotonic functions is constant.
    Źródło:
    Opuscula Mathematica; 2012, 32, 2; 239-247
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A general differentiation theorem for superadditive processes
    Autorzy:
    Sato, Ryotaro
    Powiązania:
    https://bibliotekanauki.pl/articles/965787.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    differentiation theorem
    superadditive process
    absolutely continuous norm
    local ergodic theorem
    semigroup of positive linear operators
    Banach lattice of functions
    Opis:
    Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T={$T_t$: t < 0} be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.
    Źródło:
    Colloquium Mathematicum; 2000, 83, 1; 125-136
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-10 z 10

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