拓撲線性空間中不連續(xù)線性算子的研究.pdf

1、黑龍江大學碩士學位論文拓撲線性空間中不連續(xù)線性算子的研究姓名：高智勇申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：劉紹武20050604黑龍江大學聯(lián)七學位論文i宣冀釜iiii黛葺ii墨■黼薯蘭宣宣搿iiiiiiiiii嵩黼iii宣黼i葺i—iI黼iii宣篇篇宣iii—嗣iii掌—i—AbstractThisthesishasdiscussedtheissuesoflinearnoncontinuousfunctionalsandlinear

2、noncontinuousoperatorsontopologicallinearspacesFromtheperspectivesofToaxiom、A1axiom、Hameldimension、Subspace、boundednesscharacteristicofspaceitselfthethesiscomparativelycomprehensivelyelucidatesthesufficiencyandnecessityo

3、ftheexistenceoflinearnoncontinuousfunctionalsandlinearnoncontinuousoperators黯wellastherelationshipbetweenthetwoTherearenolackofinnovativeresearchinthethesisKcywords：TopologicallinearspaceNeighborhoodbasisLinearmanifoldWe