Introduction to the Theory of Bases: Springer Tracts in Natural Philosophy, cartea 18
Autor Jürg T. Martien Limba Engleză Paperback – 18 apr 2014
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Specificații
ISBN-13: 9783642871429
ISBN-10: 3642871429
Pagini: 164
Ilustrații: XII, 151 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.24 kg
Ediția:Softcover reprint of the original 1st ed. 1969
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Tracts in Natural Philosophy
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642871429
Pagini: 164
Ilustrații: XII, 151 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.24 kg
Ediția:Softcover reprint of the original 1st ed. 1969
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Tracts in Natural Philosophy
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
I. Linear Transformations.- 1. Linear Topological Spaces.- 2. Linear Transformations.- 3. Conjugate Spaces and Weak Topologies.- 4. Special Banach Spaces.- II Convergence of Series in Banach Spaces.- 1. Relations among Different Types of Convergence.- 2. Unconditional and Absolute Convergence.- III. Bases for Banach Spaces.- 1. Bases Corresponding to Different Topologies.- 2. Biorthogonal Systems.- 3. Shrinking and Boundedly Complete Bases.- 4. Unconditional Bases.- 5. Absolutely Convergent Bases and Uniform Bases.- 6. T-Bases.- 7. Bases for Special Spaces.- IV. Orthogonality, Projections and Equivalent Bases.- 1. Bases and Projections.- 2. Orthogonality, simple N1-Spaces and Monotone Bases.- 3. Equivalent Bases.- V. Bases and Structure of the Space.- 1. Bases, Completeness and Separability.- 2. Bases and Reflexivity.- 3. Criteria for Finite Dimension.- VI. Bases for Hilbert Spaces.- 1. Monotone and Orthonormal Bases.- 2. Unconditional Bases for Hilbert Spaces.- VII. Decompositions.- 1. Decompositions of F-Spaces.- 2. Decompositions of Banach Spaces.- VIII. Applications to the Theory of Banach Algebras.- 1. Two-Sided Ideals of Operators of Finite Rank.- 2. ?-Rings.- 3. Proper ?-Rings of Schauder Decompositions.- 4. Minimal Schauder Decompositions.- 5. Banach Algebras and Unconditional Bases.- IX. Some Results on Generalized Bases for Linear Topological Spaces.- 1. Definition and Fundamental Properties of Generalized Bases.- 2. Dual Generalized Bases.- 3. Examples.- 4. Similar Bases.- 5. Continuity of the Coefficient Functionals.- Author and Subject Index.