Ben Wallis

Garling sequence spaces

By generalizing a construction of Garling, for each

Controlling Almost-Invariant Halfspaces in Both Real and Complex Settings

1\leqslant p<\infty

1-greedy renormings of Garling sequence spaces

and each normalized, nonincreasing sequence of positive numbers

Classes of operators determined by ordinal indices

w\in c_0\setminus\ell_1

The structure of almost-invariant half-spaces for some operators

we exhibit an

Sequence-singular operators

\ell_p

Almost-invariant and essentially-invariant halfspaces☆

-saturated, complementably homogeneous Banach space

Closed ideals in

g(w,p)

\mathcal{L}(X)

related to the Lorentz sequence space

and

d(w,p)