On L1 Space Formed by Complex-Valued Partial Functions
نویسندگان
چکیده
Let D be a non empty set and let E be a complex-membered set. One can verify that every element of D→̇E is complex-valued. Let D be a non empty set, let E be a complex-membered set, and let F1, F2 be elements of D→̇E. Then F1 + F2 is an element of D→̇C. Then F1 − F2 is an element of D→̇C. Then F1 · F2 is an element of D→̇C. Then F1/F2 is an element of D→̇C. Let D be a non empty set, let E be a complex-membered set, let F be an element of D→̇E, and let a be a complex number. Then a · F is an element of D→̇C. Let V be a non empty CLS structure and let V1 be a subset of V . We say that V1 is multiplicatively closed if and only if:
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عنوان ژورنال:
- Formalized Mathematics
دوره 20 شماره
صفحات -
تاریخ انتشار 2012