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In this work we discuss several ways to extend to the context of Banach spaces the notion of Hilbert-Schmidt operator: p-summing operators, γ-summing or γ-radonifying operators, weakly* 1-nuclear operators and classes of operators defined via factorization properties. We introduce the class PS₂(E;F) of pre-Hilbert-Schmidt operators as the class of all operators u: E → F such that w ∘ u ∘ v is Hilbert-Schmidt...
Satellite telecommunications today present one of the most remarkable opportunities as they enable us to communicate and virtually reach any corner of the world. Great discoveries and developments in this field have enabled us to improve our quality of life. But even as we benefit from this progress, many challenges are encountered as satellite service providers uphold certain quality of service (QoS)...
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