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math.FA2026
Some Generalized Numerical Ranges of Real-linear Operators on Hilbert Spaces
Arup Majumdar, Vladimir Muller
This paper introduces and systematically investigates several classes of numerical ranges associated with real-linear operators on Hilbert spaces, including the essential numerical…
math.FA2026
Unbounded Antilinear Operators on Hilbert Spaces
Arup Majumdar
The paper introduces unbounded antilinear operators on Hilbert spaces and develops their fundamental theory. In particular, we establish a closed range theorem, a polar decompositi…