## Linear operators: Spectral operators |

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Page 2068

It is clear that the linear space L0— Lx n Lm

generally, for any p with 1 ^ p ^ oo, the space L0 = Lj^n Lp

k) and L0= L1 n (7°° are other examples of linear subsets of Ll which

It is clear that the linear space L0— Lx n Lm

**satisfies**(11). Also the ... Moregenerally, for any p with 1 ^ p ^ oo, the space L0 = Lj^n Lp

**satisfies**(11). ... Lt n C(k) and L0= L1 n (7°° are other examples of linear subsets of Ll which

**satisfy**(11).Page 2112

We say that T

„} of analytic functions from U to X and x e X such that (XI — T)fn(X) -*□ x

uniformly in compact subsets of U, it follows that {/„} is uniformly bounded on

compact ...

We say that T

**satisfies**condition (/?) if for every open set U and every sequence {/„} of analytic functions from U to X and x e X such that (XI — T)fn(X) -*□ x

uniformly in compact subsets of U, it follows that {/„} is uniformly bounded on

compact ...

Page 2314

This

boundary conditions at t = 1 if tan s(l + a) = kyS. Thus, using the addition formula

for the tangent function, T — XI can only fail to have an inverse if A = s2, where s

is ...

This

**satisfies**the boundary condition at t = 0 if tan «<x = Jc0 s, and**satisfies**theboundary conditions at t = 1 if tan s(l + a) = kyS. Thus, using the addition formula

for the tangent function, T — XI can only fail to have an inverse if A = s2, where s

is ...

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

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