Yun Sung Choi

THE POLYNOMIAL NUMERICAL INDEX OF A BANACH SPACE

In this paper, we introduce the polynomial numerical index of order

Estimates by polynomials

k

Denseness of Norm-Attaining Mappings on Banach Spaces

of a Banach space, generalizing to

The Bishop–Phelps–Bollobás theorem for L(L1(μ),L∞[0,1])

k

Estimates for absolutely summing norms of polynomials and multilinear maps

-homogeneous polynomials the ‘classical’ numerical index defined by Lumer in the 1970s for linear operators. We also prove some results. Let

The Bishop–Phelps–Bollobás theorem fails for bilinear forms on l1×l1

k

Boundaries for algebras of holomorphic functions on Banach spaces

be a positive integer. We then have the following: (i)

POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES

n^{(k)}(C(K))=1

Norm or numerical radius attaining polynomials on C(K)

for every scattered compact space

Unique Hahn-Banach theorems for spaces of homogeneous polynomials

K