И. К. Мацак
Abstract
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The weak convergence of random elements \[ U_n=b_n (Z_n -a_n \mathfrak {S}) \] is studied for Banach spaces with an unconditional basis, where $Z_n= \max _{1\leq k \leq n} X_k$ and $X_k$, $k\geq 1$, are independent copies of a random element $X$.
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The weak convergence of random elements \[ U_n=b_n (Z_n -a_n \mathfrak {S}) \] is studied for Banach spaces with an unconditional basis, where $Z_n= \max _{1\leq k \leq n} X_k$ and $X_k$, $k\geq 1$, are independent copies of a random element $X$.
Key concepts: Mathematics, Banach space, Weak convergence, Unconditional convergence, Convergence (economics), Basis (linear algebra), Combinatorics, Element (criminal law)