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Book Cover
E-book
Author Jarosz, Krzysztof

Title Function Spaces
Published Providence : American Mathematical Society, 2003

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Description 1 online resource (330 pages)
Series Contemporary Mathematics ; v. 328
Contemporary Mathematics
Contents ""Contents""; ""Preface""; ""Components of resolvent sets and local spectral theory""; ""The Fejér-Riesz inequality and the index of the shift""; ""A Cauchy-Green formula on the unit sphere in C2""; ""On Î"-dual algebras""; ""A connected metric space that is not separably connected""; ""Weighted Chebyshev centres and intersection properties of balls in Banach spaces""; ""The boundary of the unit ball in H1-type spaces""; ""Complete isometries -- an illustration of noncommutative functional analysis""; ""Some recent trends and advances in certain lattice ordered algebras""; ""1. Introduction""
2. Definitions and elementary properties3. l-algebra multiplications in C (X) -- 4. Multiplication by an element as an operator -- 5. Uniform completion and Dedekind completion -- 6. Powers in l-algebras -- 7. Functional Calculus on Æ?-algebras -- 8. Relationships between l-algebra multiplications -- 9. Connection between algebra and Riesz homomorphisms -- 10. Positive derivations -- 11. Cauchy-Schwarz inequalities -- 12. Order biduals -- 13. Ideal theory -- 14. Representation of Æ?-algebras -- 15. Linear biseparating maps on Æ?-algebras -- References
""An extension of a theorem of Wermer, Bernard, Sidney and Hatori to algebras of functions on locally compact spaces""""Some mapping properties of p-summing operators with Hilbertian domain""; ""The unique decomposition property and the Banach-Stone theorem""; ""A survey of algebraic extensions of commutative, unital normed algebras""; ""Some more examples of subsets of c0 and L1 [0, 1] failing the fixed point property""; ""Homotopic composition operators on Hâ?ž (Bn)""; ""Characterization of conditional expectation in terms of positive projections""
The Krull nature of locally C*-algebrasCharacterizations and automatic linearity for ring homomorphisms on algebras of functions -- Carleson embeddings for weighted Bergman spaces -- Weak* -extreme points of injective tensor product spaces -- Determining sets and fixed points for holomorphic endomorphisms -- Localization in the spectral theory of operators on Banach spaces -- Abstract harmonic analysis, homological algebra, and operator spaces -- Relative tensor products for modules over von Neumann algebras -- Uniform algebras generated by unimodular functions
""Analytic functions on compact groups and their applications to almost periodic functions""""I. Analytic Functions on Groups""; ""1. Almost periodic functions""; ""2. Shift invariant algebras on groups""; ""II. Shift Invariant Algebras on Groups""; ""1. Radó's and Riemann's theorems for analytic functions on groups""; ""2. Extension of linear multiplicative functionals of shift invariant algebras on groups""; ""3. Automorphisms of shift invariant algebras on groups""; ""4. Primary ideals of algebras of analytic functions on solenoidal groups""; ""5. Asymptotic almost periodic functions""
Notes ""III. Inductive limits and Shift Invariant Algebras on Solenoidal Groups""
Print version record
Subject Function spaces -- Congresses
Function spaces
Genre/Form Conference papers and proceedings
Form Electronic book
ISBN 9780821879184
0821879189