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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“The within, all that inner space one never sees, the brain and the heart and other caverns where thought and feeling dance their sabbath.”
—Samuel Beckett (19061989)
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