functional analysis Flashcards

1
Q

norm

A
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2
Q

Hahn-Banach

A
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3
Q

norm of a functional

A
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4
Q

Baire category theorem

A
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5
Q

Uniform boundedness principle

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6
Q

Open mapping theorem

A
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7
Q

Banach-Steinhaus

A
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8
Q

Hilbert space

A
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9
Q

Cauchy-Schwarz

A
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10
Q

Riesz for Hilber space

A
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11
Q

Orthonormal projection

A
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12
Q

convolution (+ inequality)

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13
Q

Cauchy Schwarz (+ condition for equality)

A
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14
Q

parallelogram law

A
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15
Q

closed graph

A
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16
Q

continuity of a functional

A
17
Q

separable

A
18
Q

Fourier transformation

A
19
Q

Fourier inverse theorem

A
20
Q

Arzela- Ascoli

A