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There exists

-the strip for the Riemann zeta function-, the strip of the Tomita–Takesaki theory -and the strip of complex interpolation theory.

Is this a mere coincidence or is there an (intuitive??) reason why we have a similar strip in these three theories?

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# Reason why we have a strip in zeta theory, KMS theory and interpolation theory?

There exists

-the strip for the Riemann zeta function -the strip of the Tomita–Takesaki theory -the strip of complex interpolation theory.

Is this a mere coincidence or is there an (intuitive??) reason why we have a similar strip in these three theories?