If, the Krein space is called a Pontrjagin space or -space. (Conventionally, the indefinite inner product is given the sign that makes finite.) In this case is known as the number of positive squares of . Pontrjagin spaces are named after Lev Semenovich Pontryagin.
Read more about this topic: Indefinite Inner Product Space
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“This moment exhibits infinite space, but there is a space also wherein all moments are infinitely exhibited, and the everlasting duration of infinite space is another region and room of joys.”
—Thomas Traherne (16361674)
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