Browsing IMAC_Articles by Author "16720983-6341-4bf3-b49e-140bdc21c320"
Now showing items 1-6 of 6
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A characterization of a local vector valued Bollobás Theorem
Springer Nature (2021-07-30)In this paper, we are interested in giving two characterizations for the so-called property Lo,o, a local vector valued Bollobás type theorem. We say that (X, Y) has this property whenever given ε>0 and an operador T:X→Y, ... -
Norm-Attaining Tensors and Nuclear Operators
Springer (2022-06)Given two Banach spaces X and Y, we introduce and study a concept of norm-attainment in the space of nuclear operators (𝑋�,𝑌�) and in the projective tensor product space 𝑋�⊗ˆ𝜋�𝑌�. We exhibit positive and negative ...
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On norm-attainment in (symmetric) tensor products
Taylor & Francis (2022)In this paper, we introduce a concept of norm-attainment in the projective symmetric tensor product of a Banach space X, which turns out to be naturally related to the classical norm-attainment of N -homogeneous polynomials ...
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On the existence of non-norm-attaining operators
Cambridge University Press (2021-07-09)In this article, we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in L(E,F) . By using a theorem due to Pfitzner on James boundaries, we show that if there exists a ...
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Smooth and Polyhedral Norms via Fundamental Biorthogonal Systems
Oxford University Press (2022-08-04)Let X be a Banach space with a fundamental biorthogonal system, and let Y be the dense subspace spanned by the vectors of the system. We prove that Y admits a C∞-smooth norm that locally depends on finitely many coordinates ...
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The Bishop-Phelps-Bollobás properties in complex Hilbert space
Wiley (2021-12-02)In this paper, we consider theBishop–Phelps–Bollobás point propertyfor variousclasses of operators on complex Hilbert spaces, which is a stronger property thanthe Bishop–Phelps–Bollobás property. We also deal with analogous ...
