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Infinitely delayed stochastic evolution equations in UMD Banach spaces
stochastic evolution equations UMD Banach spaces
2010/11/18
We prove an existence and uniqueness result for the infinitely delayed stochastic evolution equation $$dU(t) = &\big(AU(t) + F(t,U_t)\big) dt + B(t,U_t)dW_H(t), t\in[0,T_0]$$ where $A$ is the generat...
CAUCHY-RASSIAS STABILITY OF CAUCHY-JENSEN ADDITIVE MAPPINGS IN BANACH SPACES
Cauchy additive mapping Jensen additive mapping Cauchy--Rassias stability isomorphism between Banach algebra
2007/12/11
Let $X, Y$ be vector spaces. It is shown that if a mapping $f : X \rightarrow Y$ satisfies $$\align &f\bigg(\frac{x+y}{2}+z\bigg) + f\bigg(\frac{x-y}{2}+z\bigg) = f(x)+2f(z) , \tag 0.1 \&f\bigg(\frac{...
On subspaces isomorphic to lq in interpolation of quasi Banach spaces
real interpolation method quasi Banach spaces
2010/3/1
We show that every sequence \{xn\}n=1\infty in a real interpolation space (E0,E1)q,q, 0 < q < 1, 0 < q < \infty, of quasi Banach spaces E0,E1, which is 0-convergent in E0 + E1 but \infn \;\|xn\|(E0,E1...