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Commutateurs d'intégrales singulières et opérateurs multilinéaires

Ronald R. Coifman, Yves Meyer (1978)

Annales de l'institut Fourier

Si A est une fonction de classe 𝒞 1 à support compacte et si T est un opérateur pseudo-différentiel classique d’ordre 1, l’opérateur f T ( A f ) - A T ( f ) est borné sur L 2 . Ce résultat se généralise aux commutateurs d’ordre supérieur.

Commutative nonstationary stochastic fields

Hatamleh Ra'ed (2002)

Archivum Mathematicum

The present paper is devoted to further development of commutative nonstationary field themes; the first studies in this area were performed by K. Kirchev and V. Zolotarev [4, 5]. In this paper a more complicated variant of commutative field with nonstationary rank 2, carrying into more general situation for correlation function is studied. A condition of consistency (see (7) below) for commutative field is placed in the basis of the method proposed in [4, 5] and developed in this paper. The following...

Commutativity of compact selfadjoint operators

G. Greiner, W. Ricker (1995)

Studia Mathematica

The relationship between the joint spectrum γ(A) of an n-tuple A = ( A 1 , . . . , A n ) of selfadjoint operators and the support of the corresponding Weyl calculus T(A) : f ↦ f(A) is discussed. It is shown that one always has γ(A) ⊂ supp (T(A)). Moreover, when the operators are compact, equality occurs if and only if the operators A j mutually commute. In the non-commuting case the equality fails badly: While γ(A) is countable, supp(T(A)) has to be an uncountable set. An example is given showing that, for non-compact operators,...

Commutativity of set-valued cosine families

Andrzej Smajdor, Wilhelmina Smajdor (2014)

Open Mathematics

Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. If F t: t ≥ 0 is a regular cosine family of continuous additive set-valued functions F t: K → cc(K) such that x ∈ F t(x) for t ≥ 0 and x ∈ K, then F t F s ( x ) = F s F t ( x ) f o r s , t 0 a n d x K .

Commutators associated to a subfactor and its relative commutants

Hsiang-Ping Huang (2002)

Annales de l’institut Fourier

Let N M be an inclusion of I I 1 factors with finite Jones index. Then M = ( N ' M ) [ N , M ] as a vector space. Here [ N , M ] denotes the vector space spanned by the commutators of the form [ a , b ] where a N , b M .

Commutators based on the Calderón reproducing formula

Krzysztof Nowak (1993)

Studia Mathematica

We prove the Schatten-Lorentz ideal criteria for commutators of multiplications and projections based on the Calderón reproducing formula and the decomposition theorem for the space of symbols corresponding to commutators in the Schatten ideal.

Commutators in Banach *-algebras

Bertram Yood (2008)

Studia Mathematica

The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.

Currently displaying 1941 – 1960 of 11135