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1.

図書
図書
1. Fourier and wavelet analysis
George Bachman, Lawrence Narici, Edward Beckenstein
出版情報: New York : Springer, c2000  ix, 505 p. ; 25 cm
シリーズ名: Universitext
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2.

図書
図書
2. Elements of abstract harmonic analysis
by George Bachman, with the assistance of Lawrence Narici
出版情報: New York : Academic Press, c1964  xi, 256 p. ; 21 cm
シリーズ名: Academic paperbacks ; Mathematics
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3.

図書
図書
3. Functional analysis
George Bachman and Lawrence Narici
出版情報: New York ; London : Academic Press, c1966  xiv, 530 p. ; 24 cm
シリーズ名: Academic Press textbooks in mathematics
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4.

図書
図書
4. Papers on general topology and applications : eighth summer conference at Queens College (: cloth ; : pbk)
edited by Susan Andima ... [et al.]
出版情報: New York, N.Y. : New York Academy of Sciences, 1994  x, 355 p. ; 24 cm
シリーズ名: Annals of the New York Academy of Sciences ; v. 728
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5.

図書
図書
5. Functional analysis and valuation theory
by Lawrence Narici, Edward Beckenstein and George Bachman
出版情報: New York : M. Dekker, 1971  vi, 192 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 5
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6.

図書
図書
6. Topological vector spaces
Lawrence Narici, Edward Beckenstein
出版情報: New York : M. Dekker, c1985  xii, 408 p. ; 26 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 95
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目次情報: 続きを見る
Preface
Background / 1：
Topology / 1.1：
Valuation Theory / 1.2：
Algebra / 1.3：
Measure Theory / 1.4：
Normed Spaces / 1.5：
Filterbases and Nets / 2：
Filterbases / 2.1：
Subordinate Filterbases / 2.2：
Maximal Filterbases and Compactness / 2.3：
Nets / 2.4：
Exercises
Commutative Topological Groups / 3：
Elementary Considerations / 3.1：
Bases / 3.2：
Subgroups and Quotient Groups / 3.3：
Continuous Homomorphisms / 3.4：
Groups of Functions / 3.5：
Metrizability / 3.6：
Completeness / 4：
Completeness in Function Groups / 4.1：
Total Boundedness / 4.3：
Compactness and Total Boundedness / 4.4：
Uniform Continuity / 4.5：
Extension of Uniformly Continuous Maps / 4.6：
Completion of a Topological Group / 4.7：
Topological Vector Spaces / 5：
Absorbent and Balanced Sets / 5.1：
Convexity / 5.2：
Basic Properties / 5.3：
Algebraic Notions and Local Convexity / 5.4：
Bases at 0 / 5.5：
Products and Quotients / 5.6：
Metrizability and Completion / 5.7：
Topological Complements / 5.8：
Finite-Dimensional and Locally Compact Spaces / 5.9：
Examples / 5.10：
Seminorms / 6：
Continuity of Seminorms / 6.1：
Gauges / 6.3：
Topologies Generated by Seminorms / 6.4：
Locally Convex Spaces and Seminorms; Metrizability / 6.5：
Convergence in LCS; Ascoli's Theorem / 6.6：
Seminorms on Products and Quotients / 6.7：
Ordered Vector Spaces / 6.8：
Bounded Sets / 7：
Normability / 7.1：
Stability of Bounded Sets / 7.3：
Continuity Implies Boundedness / 7.4：
When Boundedness Implies Continuity / 7.5：
Liouville's Theorem / 7.6：
Boundedness Revisited / 7.7：
The Hahn-Banach Theorem / 8：
Linear Functionals / 8.1：
Maximal Subspaces and Hyperplanes / 8.2：
Continuous Linear Functionals / 8.3：
Hahn-Banach Extension Theorems / 8.4：
Geometric Form / 8.5：
Separation of Convex Sets / 8.6：
Helly's Theorem / 8.7：
The Extension Problem / 8.8：
Notes on the Hahn-Banach Theorem / 8.9：
Duality / 9：
Paired Spaces / 9.1：
Weak Topologies / 9.2：
Polars / 9.3：
Polar Topologies / 9.4：
Equicontinuity and Linear Maps / 9.5：
Topologies of the Dual Pair; Mackey-Arens Theorem / 9.6：
Permanence in Duality / 9.7：
Orthogonals / 9.8：
Adjoints / 9.9：
Adjoints and Continuity / 9.10：
Duals of Subspaces and Quotients / 9.11：
Openness of Linear Maps / 9.12：
The Krein-Milman Theorem / 10：
Extreme Points / 10.1：
The Choquet Boundary / 10.2：
The Stone-Banach Theorem / 10.4：
The Extension Problem Concluded / 10.5：
Barreled Spaces / 11：
Topologies for L(X,Y) / 11.0：
Lower Semicontinuity / 11.1：
Rare Sets / 11.3：
Meager Sets and Baire Spaces / 11.4：
The Baire Category Theorem / 11.5：
The Banach-Steinhaus Theorem / 11.6：
Infrabarreled Spaces / 11.7：
Permanence Properties / 11.8：
Increasing Sequences of Disks / 11.9：
Strict Inductive Limits / 12：
Strict Inductive Limits and LF-Spaces / 12.1：
General Inductive Limits / 12.2：
Bornological Spaces / 13：
The Space X[subscript D] / 13.1：
Closed Graph Theorems / 13.2：
Maps with Closed Graphs / 14.1：
Closed Linear Maps / 14.2：
The Open Mapping Theorem / 14.3：
Applications / 14.5：
Webbed Spaces / 14.6：
Closed Graph Theorems for Webbed Spaces / 14.7：
Limits on the Domain Space / 14.8：
Other Closed Graph Theorems / 14.9：
Reflexivity / 15：
Reflexive Spaces / 15.1：
Smulian Theorems / 15.2：
Particular Spaces / 15.3：
Approximation Theory / 15.4：
Norm Convexities / 16.1：
Chebysev Spaces / 16.2：
Approximation in Function Algebras / 16.3：
Bibliography
Index
Preface
Background / 1：
Topology / 1.1：
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