- #1

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I have a linear operator P (more specifically a projection operator), and I want to write:

[itex]P(x) = \sum_{i=0}^\infty P(x_i)[/itex].

How can I justify taking the operator inside the infinite sum?

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- Thread starter logarithmic
- Start date

- #1

- 107

- 0

I have a linear operator P (more specifically a projection operator), and I want to write:

[itex]P(x) = \sum_{i=0}^\infty P(x_i)[/itex].

How can I justify taking the operator inside the infinite sum?

- #2

Erland

Science Advisor

- 738

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This is true if the linear operator P is bounded. Otherwise, it might be false.

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