Author:
Foralewski Paweł,Piszczek Krzysztof
Abstract
AbstractWe study Orlicz sequence algebras and their properties. In particular, we fully characterize biflat and biprojective Orlicz sequence algebras as well as weakly amenable and approximately (semi-)amenable Orlicz sequence algebras. As a consequence, we show the existence of a wide class of sequence algebras that behave differently—in terms of the amenability properties—from any of the algebras$\ell _{p}, 1\leqslant p\leqslant \infty $ℓp,1⩽p⩽∞.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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