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一类算子的换位代数的K-群 被引量:1
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作者 郭献洲 张相梅 《河北工业大学学报》 CAS 2015年第6期73-75,共3页
令H是一个复的、可分的、无穷维的Hilbert空间,L(H)表示H上有界线性算子的全体.算子T∈L(H)称为强不可约的,如果的换位代数没有非平凡的幂等元.本文对于算子类F={T∈L(H)<σ(T)连通,且A'(T)={R(T)<R为σ(T)上的解析函数}进行... 令H是一个复的、可分的、无穷维的Hilbert空间,L(H)表示H上有界线性算子的全体.算子T∈L(H)称为强不可约的,如果的换位代数没有非平凡的幂等元.本文对于算子类F={T∈L(H)<σ(T)连通,且A'(T)={R(T)<R为σ(T)上的解析函数}进行了研究,对于T∈F,证明了T是强不可约算子,且V(A'(T))=N,K_0(A'(T))=Z,这里N={0,1,2,3,...},Z是整数群. 展开更多
关键词 幂等元 强不可约算子 算子的换位代数 0群 归纳序列
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Karl Popper's Critical Rationalism" Corroboration versus Confirmation*
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作者 Oseni Taiwo Afisi 《Journal of Philosophy Study》 2013年第6期506-516,共11页
This paper reviews and adds to previous arguments for the thesis that Karl Popper was mistaken to have rejected hypothetico-deductive confirmation. By turning from the positive idea of verification to the negative ide... This paper reviews and adds to previous arguments for the thesis that Karl Popper was mistaken to have rejected hypothetico-deductive confirmation. By turning from the positive idea of verification to the negative idea of criticism, Popper believed that he had turned his back on induction. He believed he had "solved" the "problem of induction" by providing a non-inductive account of corroboration. Popper used the term "corroboration" rather than confirmation which he believed was too closely allied to the notion of the inductive or probabilistic support that a theory can receive from evidence. Wesley Salmon's (1967) "concept of confirming evidence" and Clark Glymour's (1980) "bootstrap conception of evidence for theory" both defended respectively the thesis that passed tests can be confirmed by evidence or warranted by the degree of probability. Using a sequence of symbols in logical form or analysis, I shall further defend the concept to hypothetico-deductive confirmation in order to show that the known weaknesses of Popper's critical rationalism are remediable, once the notion of evidence for theories is brought back into consideration. 展开更多
关键词 hypothetico-deductivism INDUCTION CORROBORATION CONFIRMATION critical rationalism consilience BOOTSTRAP
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