发表刊物：Banach Journal of Mathematical Analysis

摘要：A theorem of Brown and Halmos [6] characterizes when the product of two scalar Toeplitz operators is again a Toeplitz operator. Although the theorem and its proof are quite simple, it has served as an inspiration for a variety of related and often significantly more difficult results on various function spaces in one or several variables. Motivated by its extension to Toeplitz operators with matrix-valued symbols [16], we characterize when the product of two Toeplitz operators with operator-valued symbols is again a Toeplitz operator. We also address the related question of when the product of a Toeplitz operator and a Hankel operator with operator-valued symbols is a Hankel operator. In addition, a partial answer is given to the problem of determining when the product of two Hankel operators with operator-valued symbols is a Hankel operator.

合写作者：Caixing Gu, Pan Ma, Zhaoxi Zhang

论文类型：期刊论文

学科门类：理学

一级学科：数学

文献类型：J

卷号：21 (2027)

页面范围：Article number 1

是否译文：否

发表时间：2026-10-28

收录刊物：SCI

发布期刊链接：https://link.springer.com/article/10.1007/s43037-026-00523-z