Order properties of the space of A-linear operators

• Autorzy: Turan B.
• Języki publikacji: EN

Abstrakty

EN

Let A be an f-algebra with unit and L, M be two topologically full f-modules on A. We prove that the space of A-linear operators Lb(L, M; A) is a Riesz space and we study the order properties of the adjoint operator from Lb(L, M; A) to Lb(M~, L~; (A)^n). The main result given here describes the centre of the space of Lb{L, M; A).

Słowa kluczowe

EN

f-algebra; Riesz space; f-module; operators; linear operators; adjoint operators

PL

algebra-f; przestrzeń Riesza; operatory; operatory linearne; operatory sprzężone

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 429--438
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Turan B.

• Department of Mathematics Faculty of Arts and Science, Gazi University, Teknikokullar, 06500 Ankara, Turkey,

Bibliografia

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• [10] A. C. Zaanen, Riesz Spaces II, North Holland, Amsterdam, 1983.