On strongly separately continuous functions on sequence spaces

We study strongly separately continuous real-valued function defined on the Banach spaces ℓpℓp. Determining sets for the class of strongly separately continuous functions on ℓpℓp are characterized. We prove that for every 2≤α<ω12≤α<ω1 there exists a strongly separately continuous function which belongs to the α'th Baire class and does not belong to the β  'th Baire class on ℓpℓp for β<αβ<α. We show that any open set in ℓpℓp is the set of discontinuities of a strongly separately continuous real-valued function.