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Idempotents dans les algèbres de Banach

100%

Berkani M.

Studia Mathematica

1996

tom 120

nr 2

155-158

Using the holomorphic functional calculus we give a characterization of idempotent elements commuting with a given element in a Banach algebra.

Convergence of orthogonal series of projections in Banach spaces

80%

Jajte R., Paszkiewicz A.

Annales Polonici Mathematici

1997

tom 66

nr 1

137-153

For a sequence $(A_j)$ of mutually orthogonal projections in a Banach space, we discuss all possible limits of the sums $S_n = ∑^n_{j=1} A_j$ in a "strong" sense. Those limits turn out to be some special idempotent operators (unbounded, in general). In the case of X = L₂(Ω,μ), an arbitrary unbounded closed and densely defined operator A in X may be the μ-almost sure limit of $S_n$ (i.e. $S_{n}f → Af$ μ-a.e. for all f ∈ 𝓓(A)).

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On the maximal subsemigroups of the semigroup of all monotone transformations

61%

Gyudzhenov I., Dimitrova I.

Discussiones Mathematicae - General Algebra and Applications

2006

tom 26

nr 2

199-217

In this paper we consider the semigroup Mₙ of all monotone transformations on the chain Xₙ under the operation of composition of transformations. First we give a presentation of the semigroup Mₙ and some propositions connected with its structure. Also, we give a description and some properties of the class $J̃_{n-1}$ of all monotone transformations with rank n-1. After that we characterize the maximal subsemigroups of the semigroup Mₙ and the subsemigroups of Mₙ which are maximal in $J̃_{n-1}$.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Discussiones Mathematicae - General Algebra and Applications

1 Studia Mathematica

1 Berkani M.

1 Dimitrova I.

1 Gyudzhenov I.

1 Jajte R.

1 Paszkiewicz A.

1 2006

1 1997

1 1996

Wyniki wyszukiwania

Idempotents dans les algèbres de Banach

Convergence of orthogonal series of projections in Banach spaces

On the maximal subsemigroups of the semigroup of all monotone transformations