Inheritance Properties of Positive Cones Induced by Subalgebras and Quotients of Ordered Banach Algebras

In this paper, we study the existence of solutions for a system of quadratic integral equations of Chandrasekhar type by applying fixed point theorem of a 2 x 2 block operator matrix defined on a nonempty bounded closed convex subsets of Banach algebras where the entries are nonlinear operators.

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Existence of Solutions for an integral equation of Chandrasekhar type in Banach algebras with respect to the weak topology

Operator Theory ◽

10.1515/9783110598193-013 ◽

2021 ◽

pp. 177-182

Author(s):

Amor Fahem ◽

Aref Jeribi ◽

Najib Kaddachi

Keyword(s):

Integral Equation ◽

Weak Topology ◽

Existence Of Solutions ◽

Banach Algebras

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COMMUTATIVITY UP TO A FACTOR IN BANACH ALGEBRAS

Demonstratio Mathematica ◽

10.1515/dema-2005-0413 ◽

2005 ◽

Vol 38 (4) ◽

pp. 895-900

Author(s):

Christoph Schmoeger

Keyword(s):

Banach Algebras

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ON ALGEBRA ISOMORPHISMS BETWEEN p-BANACH BEURLING ALGEBRAS

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972720001392 ◽

2021 ◽

pp. 1-12

Author(s):

PRAKASH A. DABHI ◽

DARSHANA B. LIKHADA

Keyword(s):

Banach Algebra ◽

Banach Algebras ◽

Discrete Groups ◽

Discrete Semigroups ◽

Beurling Algebras

Abstract Let $(G_1,\omega _1)$ and $(G_2,\omega _2)$ be weighted discrete groups and $0\lt p\leq 1$ . We characterise biseparating bicontinuous algebra isomorphisms on the p-Banach algebra $\ell ^p(G_1,\omega _1)$ . We also characterise bipositive and isometric algebra isomorphisms between the p-Banach algebras $\ell ^p(G_1,\omega _1)$ and $\ell ^p(G_2,\omega _2)$ and isometric algebra isomorphisms between $\ell ^p(S_1,\omega _1)$ and $\ell ^p(S_2,\omega _2)$ , where $(S_1,\omega _1)$ and $(S_2,\omega _2)$ are weighted discrete semigroups.

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The network of reflexive dative constructions in South Slavic

Poznan Studies in Contemporary Linguistics ◽

10.1515/psicl-2021-0003 ◽

2021 ◽

Vol 57 (1) ◽

pp. 59-83

Author(s):

Liljana Mitkovska

Keyword(s):

Complex Network ◽

Wide Distribution ◽

Construction Grammar ◽

The South ◽

Slavic Languages ◽

Emotional Processes ◽

Lack Of Control ◽

Inheritance Properties

Abstract This paper analyses a number of constructions with a reflexive marker on the verb and a dative argument, using the framework of Construction Grammar. In these constructions the predication is ascribed in various modes to the experiencer argument. We focus on these constructions in the South Slavic languages in which they have a wide distribution, Macedonian, Bulgarian and Bosnian/Croatian/Serbian (BCS). The following basic types are identified: Emotional processes and states, Accidental, Perception/Cognition and Stative Reflexive-Dative Construction (SRDC). The specific clusters of features in each one are due to the inheritance properties from a reflexive construction, indicating a valence reduction, in combination with the features of affectedness and lack of control, characteristic of a dative argument. This results in varied but multiply linked patterns that create a complex network of constructions. The study aims at defining the relations between these constructions and in particular at determining the place of SRDC in this network.

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