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It is well known that one can often construct a star-product by expanding the product of two Toeplitz operators asymptotically into a series of other Toeplitz operators multiplied by increasing powers of the Planck constant h. This is the Berezin-Toeplitz quantization. We show that one can obtain in a similar way in fact any star-product which is equivalent to the Berezin-Toeplitz star-product, by using instead of Toeplitz operators other suitable mappings from compactly supported smooth functions...

Dense barrelled subspace of Banach spaces.

Christopher E. Stuart (1996)

Collectanea Mathematica

Dense range perturbations of hypercyclic operators

Luis Bernal-Gonzalez (2002)

Colloquium Mathematicae

We show that if (Tₙ) is a hypercyclic sequence of linear operators on a locally convex space and (Sₙ) is a sequence of linear operators such that the image of each orbit under every linear functional is non-dense then the sequence (Tₙ + Sₙ) has dense range. Furthermore, it is proved that if T,S are commuting linear operators in such a way that T is hypercyclic and all orbits under S satisfy the above non-denseness property then T - S has dense range. Corresponding statements for operators and sequences...

Denseness and Borel complexity of some sets of vector measures

Zbigniew Lipecki (2004)

Studia Mathematica

Let ν be a positive measure on a σ-algebra Σ of subsets of some set and let X be a Banach space. Denote by ca(Σ,X) the Banach space of X-valued measures on Σ, equipped with the uniform norm, and by ca(Σ,ν,X) its closed subspace consisting of those measures which vanish at every ν-null set. We are concerned with the subsets $_{ν} (X)$ and $_{ν} (X)$ of ca(Σ,X) defined by the conditions |φ| = ν and |φ| ≥ ν, respectively, where |φ| stands for the variation of φ ∈ ca(Σ,X). We establish necessary and sufficient conditions...

Densité de l’espace des fonctions affines continues sur un convexe compact $X$ dans l’espace $L^{p}$ d’une mesure maximale

Michèle Capon (1970/1971)

Séminaire Choquet. Initiation à l'analyse

Density character, barrelledness and the closed graph theorem

J. O. Popoola, I. Tweddle (1979)

Colloquium Mathematicae

Density conditions in Fréchet and (DF)-spaces.

Klaus-Dieter. Bierstedt, José Bonet (1989)

Revista Matemática de la Universidad Complutense de Madrid

We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.

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Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen II.

Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen I.

Darstellung von Banach-Verbänden und Sätze vom Korovkin-Typ.

De nouveaux espaces de Banach sans la propriété d'approximation

Decomposition Theorems.

Deformation quantization and Borel's theorem in locally convex spaces

Dense barrelled subspace of Banach spaces.

Dense range perturbations of hypercyclic operators

Denseness and Borel complexity of some sets of vector measures

Densité de l’espace des fonctions affines continues sur un convexe compact $X$ dans l’espace $L^{p}$ d’une mesure maximale

Density character, barrelledness and the closed graph theorem

Density conditions in Fréchet and (DF)-spaces.

Dentabilité et points extrémaux

Der Graphensatz von A. P. und W. Robertson für S-Räume.

Der induktive Limes von abzählbar vielen FH-Räumen. Vereinigungsverfahren..

Der Satz über offene Abbildungen in topologischen Vektorräumen.

Der Satz von Choquet-Bishop-de Leeuw für konvexe nicht kompakte Mengen straffer Maße.

Der „Satz von der gleichmässigen Beschranktheit‟ für eine Klasse nichtlinearer Operatoren

Der Satz von Dunford-Pettis und die Darstellung von Massen mit Werten in lokalkonvexen Räumen.

Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire

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