Q1 is how to show that "the unconditionality of $\mathcal{B}$
implies $$\|P_{(B\cup A)^c}(x)\| = \|P_{(B\cup A)^c}(x-y)\|\leq
K_{su} \|x-y\|.$$ Analogously, $$\|P_{A\backslash B}(x)\| =
\|P_{A\backslash B}(x-y)\| \leq K_{su}\|x-y\|.$$"
2026-05-10 16:29:39.1778430579
using unconditional basis
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