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Differentiability of the operator norm on spaces
Sreejith Siju
In this paper, we present a characterization of strong subdifferentiability of the norm of bounded linear operators on spaces, . Furthermore, we prove that…
Ball Covering Property on Operators and Calkin Algebra
Sreejith Siju, Bentuo Zheng
A Banach space is said to have the ball covering property (BCP) if the unit sphere of can be covered by countably many open balls with for e…
Analytic primes, -ideals, and -sets in
Deepak K. D, Jaydeb Sarkar, Sreejith Siju
We investigate the structure of -sets, -ideals, and a newly introduced notion of analytic primes in , where denotes the Banach al…
Ball proximinality of -ideals of compact operators
C. R. Jayanarayanan, Sreejith Siju
In this article, we prove the proximinality of closed unit ball of -ideals of compact operators. We also prove the ball proximinality of -embedded spaces in their biduals. Mo…