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math.FA2026
Unique operator space structures on a family of two dimensional Banach spaces
Samya Kumar Ray
For , let and . We prove that every contractive linear map from into …
math.FA2026
Failure of Rational Dilation on the Tetrablock via Parrott Homomorphisms
Shubhankar Mandal, Samya Kumar Ray
We determine the cotangent operator space structure at the origin of the tetrablock (denoted by ). In particular we prove that $\operatorname{COT}_0(\overline{\mathbb E}…
math.FA2026
Extreme points, positive Grothendieck constants and tensor product norms
Rajeev Gupta, Arpita Mal, Gadadhar Misra +1
We study several interrelated problems arising from the interplay between extreme point theory, Grothendieck-type inequalities, and tensor product norms. We develop a general frame…