Wszystkie pola: elementary operators - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Elementary operators still not elementary?
Autorzy:: Mathieu, M.
Powiązania:: https://bibliotekanauki.pl/articles/254820.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: spectral isometries
elementary operators
Jordan isomorphisms
Opis:: Properties of elementary operators, that is, finite sums of two-sided multiplications on a Banach algebra, have been studied under a vast variety of aspects by numerous authors. In this paper we review recent advances in a new direction that seems not to have been explored before: the question when an elementary operator is spectrally bounded or spectrally isometric. As with other investigations, a number of subtleties occur which show that elementary operators are still not elementary to handle.
Źródło:: Opuscula Mathematica; 2016, 36, 6; 787-797
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Interpolation by elementary operators
Autorzy:: Magajna, Bojan
Powiązania:: https://bibliotekanauki.pl/articles/1292787.pdf
Data publikacji:: 1993
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: elementary operators
C*-algebras
multipliers
Opis:: Given two n-tuples $a = (a_1,...,a_n)$ and $b = (b_1,...,b_n)$ of bounded linear operators on a Hilbert space the question of when there exists an elementary operator E such that $Ea_j = b_j$ for all j =1,...,n, is studied. The analogous question for left multiplications (instead of elementary operators) is answered in any C*-algebra A, as a consequence of the characterization of closed left A-submodules in $A^n$.
Źródło:: Studia Mathematica; 1993, 105, 1; 77-92
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk
Autorzy:: Irmak, Hüseyin
Powiązania:: https://bibliotekanauki.pl/articles/1797179.pdf
Data publikacji:: 2020-07-28
Wydawca:: Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:: fractional calculus
unit open disk
complex plane
analytic functions
normalized functions
Taylor-Mclaurin series expansion
the Tremblay operator
fractional
derivative operator
differential inequalities in the complex plane
Opis:: This scientific note relates to introducing certain elementary operators defined in the unit disk in the complex plane, then determining various applications (specified by those operators) to certain analytic functions, and also revealing a number of possible implications of them.
Źródło:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 193-201
2300-133X
Pojawia się w:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Localizations of partial differential operators and surjectivity on real analytic functions
Autorzy:: Langenbruch, Michael
Powiązania:: https://bibliotekanauki.pl/articles/1206083.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: partial differential operator
real analytic function
elementary solution
hyperbolicity
local hyperbolicity
Opis:: Let P(D) be a partial differential operator with constant coefficients which is surjective on the space A(Ω) of real analytic functions on an open set $ Ω ⊂ ℝ^n$. Then P(D) admits shifted (generalized) elementary solutions which are real analytic on an arbitrary relatively compact open set ω ⊂ ⊂ Ω. This implies that any localization $P_{m,Θ}$ of the principal part $P_m$ is hyperbolic w.r.t. any normal vector N of ∂Ω which is noncharacteristic for $P_{m,Θ}$. Under additional assumptions $P_m$ must be locally hyperbolic.
Źródło:: Studia Mathematica; 2000, 140, 1; 15-40
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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