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SIR C R REDDY (A) COLLEGE, ELURU
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Curricular Plan for the Academic Year :: 2020-21
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Name of the Faculty MemberMrs K. SailajaName of the DepartmentPG Department of Mathematics
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ProgramM.Sc MathematicsGroup:
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Title of the CourseFunctional AnalysisCourse Code:M301
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Year IISemesterIIIHrs allotted:90
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SectionHours/Week6
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Unit No. & NameHourDayDateTopic to be CoveredMethodologyRemarks
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Adopted
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UNIT I : Banach spaces:1MON16-11-2020definition and some examplesLecture Method
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2TUE17-11-2020Some Simple Results on DefinitionsLecture Method
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3WED18-11-2020continuous linear transformationLecture Method
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4THU19-11-2020continuous linear transformationLecture Method
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5FRI20-11-2020continuous linear transformationLecture Method
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6SAT21-11-2020continuous linear transformationLecture Method
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7MON23-11-2020continuous linear transformationLecture Method
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8TUE24-11-2020continuous linear transformationLecture Method
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9WED25-11-2020Hahn Banach TheoremLecture Method
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10THU26-11-2020Hahn Banach TheoremLecture Method
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11FRI27-11-2020Hahn Banach TheoremLecture Method
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12SAT28-11-2020Hahn Banach TheoremLecture Method
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13MON30-11-2020Hahn Banach TheoremLecture Method
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14TUE1/12/2020the natural imbedding of N in N**,Lecture Method
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15WED2/12/2020the natural imbedding of N in N**,Lecture Method
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16THU3/12/2020the natural imbedding of N in N**,Lecture Method
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17FRI4/12/2020the natural imbedding of N in N**,Lecture Method
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18SAT5/12/2020the natural imbedding of N in N**,Lecture Method
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19MON7/12/2020the natural imbedding of N in N**,Lecture Method
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20TUE8/12/2020The open mapping theoremLecture Method
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21WED9/12/2020The open mapping theoremLecture Method
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22THU10/12/2020The open mapping theoremLecture Method
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23FRI11/12/2020The open mapping theoremLecture Method
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24SAT12/12/2020The open mapping theoremLecture Method
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UNIT II : Hilbert spaces:25MON14/12/2020The conjugate of an operatorLecture Method
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26TUE15/12/2020The conjugate of an operatorLecture Method
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27WED16/12/2020The conjugate of an operatorLecture Method
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28THU17/12/2020The conjugate of an operatorLecture Method
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29FRI18/12/2020The conjugate of an operatorLecture Method
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30SAT19/12/2020The definition and some simple properties on Hilbert SpacesLecture Method
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31MON21/12/2020Some Results On Hilbert SpacesLecture Method
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32TUE22/12/2020Some Results On Hilbert SpacesLecture Method
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33WED23/12/2020Theorms on Hilbert SpacesLecture Method
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34THU24/12/2020Theorms on Hilbert SpacesLecture Method
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35SAT26/12/2020Theorms on Hilbert SpacesLecture Method
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36MON28/12/2020orthogonal complementsLecture Method
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37TUE29/12/2020orthogonal complementsLecture Method
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38WED30/12/2020orthogonal complementsLecture Method
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39THU31/12/2020orthogonal complementsLecture Method
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40FRI1/1/2021orthogonal complementsLecture Method
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41SAT2/1/2021orthogonal complementsLecture Method
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42MON4/1/2021orthonormal setsLecture Method
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43TUE5/1/2021orthonormal setsLecture Method
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44WED6/1/2021orthonormal setsLecture Method
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45THU7/1/2021orthonormal setsLecture Method
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46FRI8/1/2021orthonormal setsLecture Method
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47SAT9/1/2021orthonormal setsLecture Method
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48MON11/1/2021orthonormal setsLecture Method
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UNIT III : Hilbert Spaces Continution49TUE12/1/2021The Conjugate space H*Lecture Method
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50SAT16/1/2021The Conjugate space H*Lecture Method
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51MON18/1/2021The Conjugate space H*Lecture Method
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52TUE19/1/2021The Conjugate space H*Lecture Method
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53WED20/1/2021The Conjugate space H*Lecture Method
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54THU21/1/2021the ad joint of an operatorLecture Method
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55FRI22/1/2021the ad joint of an operatorLecture Method
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56SAT23/1/2021the ad joint of an operatorLecture Method
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57MON25/1/2021the ad joint of an operatorLecture Method
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58TUE27/1/2021the ad joint of an operatorLecture Method
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59WED28/1/2021Self- ad joint operatorsLecture Method
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60THU29/1/2021Self- ad joint operatorsLecture Method
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61FRI30/1/2021Self- ad joint operatorsLecture Method
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62SAT31/1/2021Normal And Unitary OperatorsLecture Method
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63MON1/2/2021Normal And Unitary OperatorsLecture Method
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64TUE2/2/2021Normal And Unitary OperatorsLecture Method
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65WED3/2/2021Normal And Unitary OperatorsLecture Method
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66THU4/2/2021Normal And Unitary OperatorsLecture Method
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67FRI5/2/2021ProjectionsLecture Method
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68SAT6/2/2021ProjectionsLecture Method
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69MON8/2/2021ProjectionsLecture Method
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70TUE9/2/2021ProjectionsLecture Method
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UNIT IV : Finite Dimensional Spectral Theory71WED10/2/2021MatricesLecture Method
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72THU11/2/2021MatricesLecture Method
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73FRI12/2/2021MatricesLecture Method
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74SAT13/2/2021MatricesLecture Method
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75MON15/2/2021MatricesLecture Method
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76TUE16/2/2021MatricesLecture Method
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77WED17/2/2021Determinants and the spectrum of an operatorLecture Method
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78THU18/2/2021Determinants and the spectrum of an operatorLecture Method
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79FRI19/2/2021Determinants and the spectrum of an operatorLecture Method
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80SAT20/2/2021Determinants and the spectrum of an operatorLecture Method
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81MON22/2/2021Determinants and the spectrum of an operatorLecture Method
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82TUE23/2/2021Determinants and the spectrum of an operatorLecture Method
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83WED24/2/2021The spectral theorem,Lecture Method
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84THU25/2/2021The spectral theorem,Lecture Method
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85FRI26/2/2021The spectral theorem,Lecture Method
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86SAT27/2/2021The spectral theorem,Lecture Method
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87MON1/3/2021The spectral theorem,Lecture Method
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88TUE2/3/2021The spectral theorem,Lecture Method