Which of the following statements is true for an unbounded operator T defined on a Hilbert space H?

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Mathematics · Functional Analysis

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

T can be closed or closable.

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Answer 1

T can be closed or closable.

Answer 2

The graph of T is always closed in H × H.

Answer 3

T is always self-adjoint.

Answer 4

The adjoint of T is always bounded.

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