Hankel forms and the Fock space.

Svante Janson; Jaak Peetre; Richard Rochberg

Displaying similar documents to “Hankel forms and the Fock space.”

Generalizations of Hankel operators

Peetre, Jaak

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On the S-norm of a Hankel form.

Jaak Peetre (1992)

Revista Matemática Iberoamericana

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A new look on Hankel forms over Fock space

Svante Janson, Jaak Peetre, Robert Wallstén (1989)

Studia Mathematica

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Lifting properties, Nehari theorem and Paley lacunary inequality.

Mischa Cotlar, Cora Sadosky (1986)

Revista Matemática Iberoamericana

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A general notion of lifting properties for families of sesquilinear forms is formulated. These lifting properties, which appear as particular cases in many classical interpolation problems, are studied for the Toeplitz kernels in Z, and applied for refining and extending the Nehari theorem and the Paley lacunary inequality.

On truncations of Hankel and Toeplitz operators.

Aline Bonami, Joaquim Bruna (1999)

Publicacions Matemàtiques

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We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.

Finite rank intermediate Hankel operators and the big Hankel operator.

Osawa, Tomoko (2006)

International Journal of Mathematics and Mathematical Sciences

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On Pták’s generalization of Hankel operators

Carmen H. Mancera, Pedro José Paúl (2001)

Czechoslovak Mathematical Journal

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In 1997 Pták defined generalized Hankel operators as follows: Given two contractions $T_{1} \in ℬ (ℋ_{1})$ and $T_{2} \in ℬ (ℋ_{2})$ , an operator $X ℋ_{1} \to ℋ_{2}$ is said to be a generalized Hankel operator if $T_{2} X = X T_{1}^{*}$ and $X$ satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of $T_{1}$ and $T_{2}$ . This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong...