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• # Artykuł - szczegóły

## Formalized Mathematics

2009 | 17 | 2 | 89-97

## The Measurability of Complex-Valued Functional Sequences

EN

### Abstrakty

EN
In this article, we formalized the measurability of complex-valued functional sequences. First, we proved the measurability of the limits of real-valued functional sequences. Next, we defined complex-valued functional sequences dividing real part into imaginary part. Then using the former theorems, we proved the measurability of each part. Lastly, we proved the measurability of the limits of complex-valued functional sequences. We also showed several properties of complex-valued measurable functions. In addition, we proved properties of complex-valued simple functions.

89-97

wydano
2009-01-01
online
2009-07-14

### Twórcy

autor
• Hirosaki-city, Aomori, Japan
autor
• Gifu National College of Technology, Japan
autor
• Shinshu University, Nagano, Japan

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