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Some characterizations of the spaces $L\sp{1}(\mu )$
1971
Transactions of the American Mathematical Society
Answers are given to the question of when the so-called horn and tensor functors in categories of Banach spaces preserve certain short exact sequences. The answers characterize the spaces of integrable, real-valued functions L1(¡j). Many questions can be raised concerning preservation properties of functors and their dual functors (see [8] ) in categories of Banach spaces. Some are answered. For example, it can be shown if a functor preserves compact operators so does its dual functor.
doi:10.1090/s0002-9947-1971-0285894-1
fatcat:pq27u37x3nenpdqid6r7qtgtcm