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Possible violation of CP, T and/or CPT symmetries in the $\ko$-$\kob$ systemis studied from a phenomenological point of view. For this purpose, we firstintroduce parameters which represent violation of these symmetries in mixingparameters and decay amplitudes in a convenient and well-defined way and,treating these parameters as small, derive formulas which relate them to theexperimentally measured quantities. We then perform numerical analyses, withthe aid of the Bell-Steinberger relation, to derive constraints to thesesymmetry-violating parameters, firstly paying particular attention to theresults reported by KTeV Collaboration and NA48 Collaboration, and then withthe results reported by CPLEAR Collaboration as well taken into account. A casestudy, in which either CPT symmetry or T symmetry is assumed, is also carriedout. It is demonstrated that CP and T symmetries are violated definitively atthe level of 10^{-4} in $2\pi$ decays and presumably at the level of 10^{-3} inthe $\ko-\kob$ mixing, and that the Bell-Steinberger relation helps us toestablish CP and T violations being definitively present in the $\ko-\kob$mixing and to test CPT symmetry to a level of 10^{-4} ~ 10^{-5}.Comment: 21 pages, 1 figure

CP, T and/or CPT violations in the $K^0 - \overline K^0$ system