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ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
(Universidad Católica del Norte, Departamento de Matemáticas, 2006)
Bilinear ideals in operator spaces
(Academic Press Inc Elsevier Science, 2015-09)
We introduce a concept of bilinear ideal of jointly completely bounded mappings between operator spaces. In particular, we study the bilinear ideals N of completely nuclear, I of completely integral and E of completely ...
On the Maximal Operator Ideal Associated with a Tensor Norm Defined by Interpolation Spaces
(CANADIAN MATHEMATICAL SOC, 2010-12-01)
The classical approach to studying operator ideals using tensor norms mainly focuses on those tensor norms and operator ideals defined by means of `p spaces. In a previous paper, an interpolation space, defined via the ...
O dual de um ideal de operadores e ideais de operadores simétricos entre espaços de BanachThe dual of an operators ideal and symmetric operators ideals on Banach spaces
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)
On operator ideals defined by a reflexive Orlicz sequence space
(Departamento de Matematicas, Universidad Catolica del Norte, 2006-01-01)
Classical theory of tensornorms and operator ideals studies mainly those defined by means of sequence spaces lp. Considering Orlicz sequence spaces as natural generalization of lp spaces, in a previous paper [12] an Orlicz ...
The Toeplitz algebra on the Bergman space coincides with its commutator ideal
(Theta Foundation, 2004-12)
Let L^2-a be the Bergman space of the unit disk and T(L^2_a) be the Banach algebra generated by Toeplitz operators T_f , with f ∈ L∞. We prove that the closed bilateral ideal of T(L2a) generated by operators of the form ...
The Lipschitz injective hull of Lipschitz operator ideals and applications
(Banach Mathematical Research Group, 2020-03)
We introduce and study the Lipschitz injective hull of Lipschitz operator ideals defined between metric spaces. We show some properties and apply the results to the ideal of Lipschitz p-nuclear operators, obtaining the ...
Separation axioms and the prime spectrum of commutative semirings
(Venezuela, 2010)
Coherent Sequences of Polynomial Ideals on Banach Spaces
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2006-08)