Zeroes of polynomials on l∞

[摘要] Consider a polynomial P on complex l(infinity) space. We prove that if P vanishes at zero, then it also vanishes on a non-separable subspace. For a polynomial on real l(infinity) space, we prove that if P vanishes on a copy of c(0) then it necessarily vanishes on a non-separable subspace. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] polynomials;Banach spaces;zeroes of polynomials