Książka - szczegóły

CONTENTS
Chapter 0...............................................................................................................................................................................5
   0.1. Introduction..................................................................................................................................................................5
   0.2. Preliminary results.......................................................................................................................................................9
Chapter I..............................................................................................................................................................................16
   I.1. Best approximation in finite-dimensional subspaces of ℒ(B,D)....................................................................................16
   I.2. Kolmogorov's type criteria for spaces of compact operators; general case.................................................................26
   I.3. Criteria for the space $K(C_K(T))$.............................................................................................................................30
   I.4. The case of sequence spaces....................................................................................................................................38
Chapter II.............................................................................................................................................................................43
   II.1. Extensions of linear operators from hyperplanes of $l^{(n)}_∞$.................................................................................43
   II.2. Minimal projections onto hyperplanes of $l^{(n)}_1$...................................................................................................52
   II.3. Strongly unique minimal projections onto hyperplanes of $l^{(n)}_∞$ and $l^{(n)}_1$...............................................59
   II.4. Minimal projections onto subspaces of $l^{(n)}_∞$ of codimension two......................................................................71
   II.5. Uniqueness of minimal projections onto subspace of $l^{(n)}_∞$ of codimension two................................................75
   II.6. Strong unicity criterion in some space of operators....................................................................................................79
Chapter III.............................................................................................................................................................................83
   III.1. Extensions of linear operators from finite-dimensional subspaces I...........................................................................83
   III.2. Extensions of linear operators from finite-dimensional subspaces II..........................................................................90
   III.3. Algorithms for seeking the constant $W_m$..............................................................................................................97
References..........................................................................................................................................................................99
Index..................................................................................................................................................................................102
Index of symbols................................................................................................................................................................102