Temat: M-operator - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On M-operators of q-lattices
Autorzy:: Halaš, Radomír
Powiązania:: https://bibliotekanauki.pl/articles/729005.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: (complete) q-lattice
closure operator
M-operator
Opis:: It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 2; 119-129
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Some Algebra Ideals Of Regular Operators
Autorzy:: Bayram, Erdal Bayram
Wnuk, Witold
Powiązania:: https://bibliotekanauki.pl/articles/744951.pdf
Data publikacji:: 2013
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: L-weakly compact operator, M-weakly compact operator, order continuous norm
Opis:: We investigate relationships joining the order continuity of a norm in a Banach lattice and some composition properties of L-weakly and M-weakly compact operators. Our results improve Proposition 3.6.16 from [5].
Źródło:: Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Sets in the ranges of nonlinear accretive operators in Banach spaces
Autorzy:: Kartsatos, Athanassios G.
Powiązania:: https://bibliotekanauki.pl/articles/1289125.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: accretive operator
m-accretive operator
compact perturbations
compact resolvents
Leray-Schauder boundary condition
mapping theorems
Opis:: Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and $M ∩ \overline{T(∂ G)} = ∅$. Then $M ⊂ \overline{TG}$. If, moreover, Case (i) or (ii) holds and T is of type $(S_1)$, or Case (iii) holds and T is of type $(S_2)$, then M ⊂ TG. Various results of Morales, Reich and Torrejón, and the author are improved and/or extended.
Źródło:: Studia Mathematica; 1995, 114, 3; 261-273
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

Tytuł:: Locally defined operators acting C∞ (A) into C0 (A)
Autorzy:: Wróbel, Małgorzata
Powiązania:: https://bibliotekanauki.pl/articles/2175527.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: locally defined operators
function of the class C∞ in the Whitney sense
m-times Whitney continuously differentiable function
operator zdefiniowany lokalnie
Opis:: We investigate the locally defined operators, sometimes called operators with memory, that map the space C∞ (A) of continuously differentiable functions in the sense of Whitney defined on a compact subset A ⊂ Rn into the space of continuous functions defined on the same set A. Using the Whitney Extension Theorem, we give a representation formula for such operators stating that every local operator K : C∞ (A) → C0 (A) is a generalized Nemytskii operator generated by some function h : A × RN → R.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 103--110
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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