Majorization, range inclusion, and factorization for unbounded operators on Banach spaces

作者：Forough M^*

来源：Linear Algebra and Its Applications, 2014, 449: 60-67.

DOI：10.1016/j.laa.2014.02.033

• Unbounded operators
• Banach spaces
• Douglas range factorization theorem
• Generalized inverse

In this paper, we aim to study the relationships among the notions of majorization, factorization and range inclusion in the context of closed densely defined operators on a Banach space. In fact, our results extend Douglas range factorization theorem for unbounded operators on a Hilbert space to the setting of unbounded operators on a Banach space.

• 出版日期2014-5-15