Temat: Banach functionals - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Stochastic diffrential equations on Banach spaces and their optimal feedback control
Autorzy:: Ahmed, N.U.
Powiązania:: https://bibliotekanauki.pl/articles/952179.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: stochastic differential equations
Banach spaces
optimal feedback control
objective functionals
Lévy-Prohorov metric
Hausdorff dimension
time-optimal problems
Opis:: In this paper we consider stochastic differential equations on Banach spaces (not Hilbert). The system is semilinear and the principal operator generating a C₀-semigroup is perturbed by a class of bounded linear operators considered as feedback operators from an admissible set. We consider the corresponding family of measure valued functions and present sufficient conditions for weak compactness. Then we consider applications of this result to several interesting optimal feedback control problems. We present results on existence of optimal feedback operators.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2012, 32, 1; 87-109
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Quadratic inequalities for functionals in $l^{\infty}$
Autorzy:: Herzog, Gerd
Kunstmann, Peer Chr.
Powiązania:: https://bibliotekanauki.pl/articles/2051918.pdf
Data publikacji:: 2021
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Banach algebras of bounded functions
operator-invariant functionals
Banach limits
Opis:: For a class of operators $T$ on $l^{\infty}$ and $T$-invariant functionals $\phi$ we prove inequalities between $\phi(x), \phi(x^{2})$ and the upper density of the sets \[P_{r} := \{n \in \mathbb{N}_{0} : \phi((T^{n}x)\cdot x) > r\}\] Applications are given to Banach limits and integrals.
Źródło:: Opuscula Mathematica; 2021, 41, 3; 437-446
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Deformation of semicircular and circular laws via p-adic number fields and sampling of primes
Autorzy:: Cho, Ilwoo
Jorgensen, Palie E. T.
Powiązania:: https://bibliotekanauki.pl/articles/255649.pdf
Data publikacji:: 2019
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
primes
p-adic number fields
Banach *-probability spaces semicircular elements
circular elements
truncated linear functionals
Opis:: In this paper, we study semicircular elements and circular elements in a certain Banach *-probability space [formula] induced by analysis on the p-adic number fields Qp over primes p. In particular, by truncating the set P of all primes for given suitable real numbers t < s in R, two different types of truncated linear functionals [formula], and [formula] re constructed on the Banach *-algebra [formula]. We show how original free distributional data (with respect to r°) are distorted by the truncations on P (with respect to [formula], and [formula]). As application, distorted free distributions of the semicircular law, and those of the circular law are characterized up to truncation.
Źródło:: Opuscula Mathematica; 2019, 39, 6; 773-813
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Convex-like inequality, homogeneity, subadditivity, and a characterization of $L^p$-norm
Autorzy:: Matkowski, Janusz
Pycia, Marek
Powiązania:: https://bibliotekanauki.pl/articles/1311612.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: functional inequality
subadditive functions
homogeneous functions
Banach functionals
convex functions
linear space
cones
measure space
integrable step functions
$L^p$-norm
Minkowski's inequality
Opis:: Let a and b be fixed real numbers such that 0 < min{a,b} < 1 < a + b. We prove that every function f:(0,∞) → ℝ satisfying f(as + bt) ≤ af(s) + bf(t), s,t > 0, and such that $limsup_{t → 0+} f(t) ≤ 0$ must be of the form f(t) = f(1)t, t > 0. This improves an earlier result in [5] where, in particular, f is assumed to be nonnegative. Some generalizations for functions defined on cones in linear spaces are given. We apply these results to give a new characterization of the $L^p$-norm.
Źródło:: Annales Polonici Mathematici; 1994-1995, 60, 3; 221-230
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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