Unexpected Uncertainty Principle for Disc Banach Spaces

Let (\fₙ\₍=₁^, \ₙ\₍=₁^) and (\gₙ\₍=₁^, \ₙ\₍=₁^) be unbounded continuous p-Schauder frames (0p1) for a disc Banach space X. Then for every x (D (f) (g) ) \0\, we show that alignUB \|f x\|₀\|g x\|₀ 1 (₍, ₌ ₍ |fₙ (ₘ) |) ᵖ (₍, ₌ ₍|gₘ (ₙ) |) ᵖ, align where align* f: D (f) x fx \fₙ (x) \₍=₁^ ᵖ (N), g: D (g) x gx \gₙ (x) \₍=₁^ ᵖ (N). align* Inequality (1) is unexpectedly different from both bounded uncertainty principle arXiv: 2308. 00312v1 and unbounded uncertainty principle arXiv: 2312. 00366v1 for Banach spaces.