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Books on the topic 'Linear metric space'

Author: Grafiati

Published: 24 April 2022

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1

Metrics on the phase space and non-selfadjoint pseudo-differential operators. Basel: Birkhäuser, 2010.

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2

Metric linear spaces. Dordrecht, Holland: D. Reidel, 1985.

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3

Linear operators in spaces with an indefinite metric. Chichester [England]: Wiley, 1989.

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4

Optimization on metric and normed spaces. New York: Springer, 2010.

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5

Verheul, E. R. Multimedians in metric and normed spaces. Amsterdam, the Netherlands: Centrum voor Wiskunde en Informatica, 1993.

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6

Introduction to the analysis of metric spaces. Cambridge [Cambridgeshire]: Cambridge University Press, 1987.

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7

Beer, Gerald Alan. Topologies on closed and closed convex sets. Dordrecht: Kluwer Academic Publishers, 1993.

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8

Linear approximations in convex metric spaces and the application in the mixture theory of probability theory. Singapore: World Scientific, 1993.

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9

Spaces of constant curvature. 6th ed. Providence, R.I: AMS Chelsea Pub., 2011.

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10

Ibragimov, Zair. Topics in several complex variables: First USA-Uzbekistan Conference on Analysis and Mathematical Physics, May 20-23, 2014, California State University, Fullerton, California. Providence, Rhode Island: American Mathematical Society, 2016.

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11

Alabiso, Carlo, and Ittay Weiss. A Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups. Springer, 2014.

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12

Alabiso, Carlo, and Ittay Weiss. A Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups. Springer, 2016.

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13

Zaslavski, Alexander J. Optimization on Metric and Normed Spaces. Springer, 2010.

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14

Zaslavski, Alexander J. Optimization on Metric and Normed Spaces. Springer, 2012.

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15

Mathematical Analysis: Linear and Metric Structures and Continuity. Birkhäuser Boston, 2007.

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16

Dimitric, Radoslav. Slenderness: Volume 1, Abelian Categories. Cambridge University Press, 2018.

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17

Notes on Geometric Transformations. Washington, USA: Polygonal Pub. House, 1998.

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18

Tretkoff, Paula. Topological Invariants and Differential Geometry. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0002.

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This chapter deals with topological invariants and differential geometry. It first considers a topological space X for which singular homology and cohomology are defined, along with the Euler number e(X). The Euler number, also known as the Euler-Poincaré characteristic, is an important invariant of a topological space X. It generalizes the notion of the cardinality of a finite set. The chapter presents the simple formulas for computing the Euler-Poincaré characteristic (Euler number) of many of the spaces to be encountered throughout the book. It also discusses fundamental groups and covering spaces and some basics of the theory of complex manifolds and Hermitian metrics, including the concept of real manifold. Finally, it provides some general facts about divisors, line bundles, and the first Chern class on a complex manifold X.

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19

Boules, Adel N. Fundamentals of Mathematical Analysis. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198868781.001.0001.

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Fundamentals of Mathematical Analysis is a beginning graduate textbook on real and functional analysis, with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces. Instructors can choose material from this part as their students’ background warrants. Chapter 4 is the spine of the book and is essential for an effective reading of the rest of the book. It is an extensive study of metric spaces, including the core topics of completeness, compactness, and function spaces, with a good number of applications. The remaining chapters consist of an introduction to general topology, a classical treatment of Banach and Hilbert spaces, the elements of operator theory, and a deep account of measure and integration theories. Several courses can be based on the book. The entire book is suitable for a two-semester course on analysis, and material can be chosen to design one-semester courses on topology, real analysis, or functional analysis. The book is designed as an accessible classical introduction to the subject, aims to achieve excellent breadth and depth, and contains an abundance of examples and exercises. The topics are carefully sequenced, the proofs are detailed, and the writing style is clear and concise. The only prerequisites assumed are a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity.

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20

Abstract Duality Pairs In Analysis: (Functional Analysis). Hackensack, New Jersey, USA: World Scientific Publishing Company, 2018.

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21

Perkins, Alisa. Muslim American City. NYU Press, 2020. http://dx.doi.org/10.18574/nyu/9781479828012.001.0001.

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Muslim American City studies how Muslim Americans test the boundaries of American pluralism as a model for secular inclusion. This ethnographic work focuses on the perspectives of both Muslims and non-Muslims in Hamtramck, Michigan, a small city situated within the larger metro Detroit region that has one of the highest concentrations of Muslim residents of any US city. Once famous as a center of Polish American life, Hamtramck’s now has a population that is at least 40 percent Muslim. Drawing attention to Muslim American expressions of religious and cultural identity in civic life—particularly in response to discrimination and gender stereotyping—the book questions the popular assumption that the religiosity of Muslim minorities hinders their capacity for full citizenship in secular societies, a viewpoint that has long played into hackneyed arguments about the supposed incompatibility between Islam and democracy. The study approaches the incorporation of Yemeni, Bangladeshi, and African American Muslim groups in Hamtramck as a social, spatial, and material process that also involves well-established Polish Catholic, African American Christian, and other non-Muslim Hamtramck residents. Extending theory on group identity, boundary formation, gender, and space-making, the book examines how Hamtramck residents mutually reconfigure symbolic divides in public debates and everyday exchanges, including and excluding others based on moral identifications or distinctions across race, ethnicity, and religion. The various negotiations of public space examined in this text advance the book’s main argument: that Muslim and non-Muslim co-residents expand the boundaries of belonging together, by engaging in social and material exchanges across lines of difference.

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