functional Analysis
29 videos • 1,304 views • by Maham Mathematician
1
Functional Analysis ||Problems(1-5)|| Chap1||2nd exercise|| #functionalanalysis #metricspace #maths
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2
Functional Analysis||Problems(6,7,9,10)|| Chap1||2nd exercise|| #functionalanalysis #maths
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3
Limit point||Derived set||accumulation point||Closure||Dense||Separable spaces #functionalanalysis
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4
Separable spaces and its examples with logical explanation || #functionalanalysis #mathematics
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5
R is a complete space. In R every Cauchy sequence is convergent. #metricspace #functionalanalysis
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6
Examples of complete space. R^(n),C^(n) & L^(infinity) is complete. #functionalanalysis #maths
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7
Metric spaces, Set of complex numbers is complete||Prove that C is complete|| Functional analysis ..
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8
Metric spaces, Prove that C[a,b](Continuous function on [a,b])is complete.|| Functional analysis..
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9
Vector spaces, Prove that R^{n} is a vector space. Metric spaces, functionalanalysis, Maths.
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10
Vector space, Exercise2.1 Question#(3-4)||#functionalanalysis || #mathematics #vectorspace
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11
Vector space, Subspace, Linearly independent||Exercise#2.1||Q#(5,6,11,12) #functionalanalysis #maths
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12
Metric spaces||Chapter#1||Exercise#1.1||Q#(2,5)|| #functionalanalysis #metricspace #maths
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13
Linear operators||Examples of linear operators||Normed space||#functionalanalysis #maths
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14
Bounded L.O ||Identity, zero & differential operator #linearoperator #bounded #functionalanalysis
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15
Integral operator is bounded linear operator.|| #bounded #linearoperator #functionalanalysis #maths
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16
If a normed space X is finite dimensional then its every linear operator is bounded.#norms #maths
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17
Continuity and boundedness theorem||#continuity #bounded #functionalanalysis #maths
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18
Continuity and Null space||Corollary||#functionalanalysis #continuity #nullspace #maths
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19
Linear Operators and Functional on finite Dimensional spaces #functionalanalysis #linearoperator (1)
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20
Linear Operators and Functional on finite Dimensional spaces #functionalanalysis #linearoperator (2)
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21
Theorem (Dimension of X*) || Lemma (Zero vector) || #functionalanalysis #maths #dualspace
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22
Theorem (Algebraic Reflexivity)||Chap#2||#functionalanalysis #algebraic #maths #mahammathmatician
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23
Inner product space, Hilbert space||#functionalanalysis #innerproductspace #hilbertspace #maths
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24
Inner Product space,, Schwarz Inequality,, Functional analysis in Urdu//Hindi
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25
Lemma (Null Space)|| Null space Lemma in functional analysis||#mathematics
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26
Orthonormal set and sequences|| Lemma(Linearly Independent)|| Functional Analysis|| Mathematics.
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27
Examples of Orthonormal sets.|| R^3 space|| l^2 space||Continuous functions|| Functional analysis.
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28
State and prove Bessel Inequality in Functional analysis||Mathematics||Functional analysis.
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29
Cauchy sequence||Complete and incomplete metric space||Functional analysis||Mathematics.
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