On Bhatia-Šemrl Property, Strong Subdifferentiability and Essential Norm of Operators on Banach Spaces

2025/12/17 by Jayanarayanan, C. R., Rajpopat, Rishit R
Computer Science · Mathematics · #47B01 #47L05 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Optimization and Variational Analysis #Primary 46B20 #Secondary 46G05

paper · doi:10.48550/arxiv.2512.15208

openalex publication_date 2025/12/17 · openalex created_date 2025/12/19 · openalex updated_date 2026/07/28

Abstract

We investigate the interplay among three key properties of bounded linear operators between Banach spaces: the Bhatia-Šemrl property, strong subdifferentiability and the condition that the essential norm is strictly less than the operator norm. For a Hilbert space H and for 1

Citations

• Differentiability of the operator norm on ℓ _p spaces

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