Satisfies Inequality

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S. Palaniammal - One of the best experts on this subject based on the ideXlab platform.

  • A CERTAIN INVESTIGATION OF OPERATORS AND FRAME THEORY
    International Journal of Mathematical Archive, 2015
    Co-Authors: K. Rajupillai, S. Palaniammal
    Abstract:

    I n this paper, we have to define (P, k) – quasiposi n-perinormal operator on Complex Hilbert space H and  using this definition, we have derive the theorem which Satisfies Inequality condition. if T is ( P, k )– quasiposi normal operator, We prove,  T is (P, k)– quasiposi n-perinormal operator and we have discussed characterization of  (P, k)– quasiposin-perinormal operator in H. Finally, we proposed the relations between quasi normal operator and frames with shift invariant operator.

K. Rajupillai - One of the best experts on this subject based on the ideXlab platform.

  • A CERTAIN INVESTIGATION OF OPERATORS AND FRAME THEORY
    International Journal of Mathematical Archive, 2015
    Co-Authors: K. Rajupillai, S. Palaniammal
    Abstract:

    I n this paper, we have to define (P, k) – quasiposi n-perinormal operator on Complex Hilbert space H and  using this definition, we have derive the theorem which Satisfies Inequality condition. if T is ( P, k )– quasiposi normal operator, We prove,  T is (P, k)– quasiposi n-perinormal operator and we have discussed characterization of  (P, k)– quasiposin-perinormal operator in H. Finally, we proposed the relations between quasi normal operator and frames with shift invariant operator.

Fumihiko Nakamura - One of the best experts on this subject based on the ideXlab platform.

  • Asymptotic stability of the cell cycle
    1994
    Co-Authors: Fumihiko Nakamura
    Abstract:

    With these values of α and β we have shown that the operator P Satisfies Inequality (11) of Theorem 3.2. Moreover we can show that K Satisfies (10). Thus, in this simple model for cell division, we know that there is a globally asymptotically stable distribution of mitogen. Lastly, we want to consider what these assumptions((14),(16),(18)) mean in the process of the real cell division. It seems to me that a lack of the assumption for the asymptotic stability of the cell cycle implies the abnormal cell division or the growth of the cancer cell.