On commutative approximate identities

T. Pytlik

Displaying similar documents to “On commutative approximate identities”

Bijective reflexions and coreflexions of commutative unars

Jaroslav Ježek, Tomáš Kepka (1996)

Acta Universitatis Carolinae. Mathematica et Physica

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Laterally commutative heaps and TST-spaces.

Vladimir Volenec (1987)

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A laterally commutative heap can be defined on a given set iff there is the structure of a TST-space on this set.

Szegoö-type properties in a non-commutative case

Wacław Szymański (1977)

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Existence theorems for commutative diagrams.

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On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions

Dorota Bród, Anetta Szynal-Liana, Iwona Włoch (2022)

Czechoslovak Mathematical Journal

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We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.

On commutative approximate identities and cyclic vectors of induced representations

A. Hulanicki, T. Pytlik (1973)

Studia Mathematica

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Commutative directoids with sectional involutions

Ivan Chajda (2007)

Discussiones Mathematicae - General Algebra and Applications

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The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.

Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type

Thomas Meyer (1997)

Studia Mathematica

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Let $ε_{ω} (I)$ denote the space of all ω-ultradifferentiable functions of Roumieu type on an open interval I in ℝ. In the special case ω(t) = t we get the real-analytic functions on I. For $μ \in ε_{ω} {(I)}^{'}$ with $s u p p (μ) = 0$ one can define the convolution operator $T_{μ} : ε_{ω} (I) \to ε_{ω} (I)$ , $T_{μ} (f) (x) : = ⟨ μ, f (x - \cdot) ⟩$ . We give a characterization of the surjectivity of $T_{μ}$ for quasianalytic classes $ε_{ω} (I)$ , where I = ℝ or I is an open, bounded interval in ℝ. This characterization is given in terms of the distribution of zeros of the Fourier Laplace transform $\hat{μ}$ of μ.