Function Spaces

Henryk Hudzik, Leszek Skrzypcazk

• Survey papers: G.Ya Lozanovsky - his contributions to the theory of branch lattices; Wladyslaw Orlicz - his life and contributions to mathematics; recent developments of some ideas and results of Orlicz on unconditional convergence. research papers: new advances regarding the inverses of disjointness preserving operators, I; non-linear integral operators in modular Lipschitz classes - rates of modular approximation; remarks on some fixed point theorems for hyperconvex metric spaces and absolute retracts; real interpolation for families of Banach spaces and the compactness property; weighted hardy inequalities of the weak type; Banach spaces with weakly normal structure; orthogonal projections onto Spline spaces with arbitrary knots; on the Carcia-Falset coefficient in some Banach sequences spaces; on some geometric properties in Musielak-Orlicz sequence spaces; extreme points and norm attainable functional in dual of AL spaces; on pairs of closed bounded convex sets that lie in complementary subspaces; rearrangement-invariant hulls and kernels of the amalgam spaces on R; a note on p-convexity of Orlicz and Musielak-Orlicz spaces of Bochner type; some geometric coefficients in Orlicz spaces with application in fixed point theory; norms in weighted L2-spaces and hardy operators; on a certain maximum principle for positively invertible matrices and operators in an ordered normed space; indices and regularisation of measurable functions; on multidistributions and X-distributions; Baire property and related concepts for spaces C(X,E); construction of weights in modular inequalities involving operators of hardy type; boundedness and compactness criteria for some classical integral transforms. (Part contents).

". . .a valuable addition to the existing literature on function spaces. . .an indispensable tool for researchers in functional analysis and its applications."---Mathematica