Minimal sequences and the Kadison-Singer problem.

Lawton, Wayne

Displaying similar documents to “Minimal sequences and the Kadison-Singer problem.”

On Riesz homomorphisms in von Neumann regular f-algebra.

Elmiloud Chil (2004)

Extracta Mathematicae

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Sufficient conditions for functions to form Riesz bases in $L_{2}$ and applications to nonlinear boundary-value problems.

Zhidkov, Peter E. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Riesz transforms for Dunkl transform

Bechir Amri, Mohamed Sifi (2012)

Annales mathématiques Blaise Pascal

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In this paper we obtain the $L^{p}$ -boundedness of Riesz transforms for the Dunkl transform for all $1 < p < \infty$ .

The size of $(L^{2}, L^{p})$ multipliers

Kathryn Hare (1992)

Colloquium Mathematicae

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Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator

Guliyev, Vagif, Hasanov, Javanshir (2006)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 42B20, 42B25, 42B35 We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials. ...

Characterization of Bessel sequences.

M. Laura Arias, Gustavo Corach, Miriam Pacheco (2007)

Extracta Mathematicae

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Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and (H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = {e} of H, a bijection α: (H) → L(H) can be defined. The aim of this paper is to characterize α (A) for different classes of operators A ⊆ L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.

Boundedness from $H^{1}$ to $L^{1}$ of Riesz transforms on a Lie group of exponential growth

Peter Sjögren, Maria Vallarino (2008)

Annales de l’institut Fourier

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Let $G$ be the Lie group $ℝ^{2} ⋉ ℝ^{+}$ endowed with the Riemannian symmetric space structure. Let $X_{0}, X_{1}, X_{2}$ be a distinguished basis of left-invariant vector fields of the Lie algebra of $G$ and define the Laplacian $Δ = - (X_{0}^{2} + X_{1}^{2} + X_{2}^{2})$ . In this paper we consider the first order Riesz transforms $R_{i} = X_{i} Δ^{- 1 / 2}$ and $S_{i} = Δ^{- 1 / 2} X_{i}$ , for $i = 0, 1, 2$ . We prove that the operators $R_{i}$ , but not the $S_{i}$ , are bounded from the Hardy space $H^{1}$ to $L^{1}$ . We also show that the second-order Riesz transforms $T_{i j} = X_{i} Δ^{- 1} X_{j}$ are bounded from $H^{1}$ to $L^{1}$ , while the transforms $S_{i j} = Δ^{- 1} X_{i} X_{j}$ and $R_{i j} = X_{i} X_{j} Δ^{- 1}$ , for $i, j = 0, 1, 2$ , are not. ...

The Stein-Weiss Type Inequality for Fractional Integrals, Associated with the Laplace-Bessel Differential Operator

Gadjiev, Akif, Guliyev, Vagif (2008)

Fractional Calculus and Applied Analysis

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2000 Math. Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B -Riesz potentials) generated by the Laplace-Bessel differential operator ∆B. * Akif Gadjiev’s research is partially supported by the grant of INTAS (project 06-1000017-8792) and Vagif Guliyev’s research is partially supported by the grant of the Azerbaijan–U.S. Bilateral Grants Program II (project ANSF Award / 16071) and by the grant of INTAS (project...