论文标题
P-ADIC量子微积分和紧凑型操作员的理想
p-Adic quantum calculus and ideals of compact operators
论文作者
论文摘要
本文提出了在$ p $ addic参数的复杂值函数空间上定义的量子分化运算符的构造，并在希尔伯特空间的有界操作员的代数中取值。研究了该操作员的特性。特别是，证明分化操作员将$ p $ - ad的空间映射到紧凑型操作员代数中的schatten-von neumann理想中。
The paper proposes a construction of a quantum differentiation operator defined on the spaces of complex-valued functions of $p$-adic argument, and taking values in the algebra of bounded operators on a Hilbert space. The properties of this operator are investigated. In particular, it is proved that the differentiation operator maps $p$-adic Besov spaces into Schatten-von Neumann ideals in the algebra of compact operators.
