Robert F. Olin's Books

Subnormal Operators and Representations of Algebras of Bounded Analytic Functions and Other Uniform Algebras

By: Thomas L. Miller,Robert F. Olin,James E. Thomson

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Subnormal Operators and Representations of Algebras of Bounded Analytic Functions and Other Uniform Algebras

By: Thomas L. Miller,Robert F. Olin,James E. Thomson

The present memoir lies between operator theory and function theory of one complex variable. Motivated by refinements of the analytic functional calculus of a subnormal operator, the authors are rapidly directed towards difficult problems of hard analysis. Quite specifically, the basic objects to be investigated in this paper are the unital (continuous) algebra homomorphisms [lowercase Greek]Pi : [italic]H[exponent infinity symbol]([italic]G) [rightwards arrow] [italic]L([italic]H), with the additional property that [lowercase Greek]Pi([italic]z) is a subnormal operator.

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Page Count

137

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821824155

ISBN 13

9780821824153

A Functional Calculus for Subnormal Operators II

By: John B. Conway,Robert F. Olin

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A Functional Calculus for Subnormal Operators II

By: John B. Conway,Robert F. Olin

Let S be a subnormal operator on a Hilbert space [script]H with minimal normal extension [italic]N operating on [italic]K, and let [lowercase Greek]Mu be a scalar valued spectral measure for [italic]N. If [italic]P[infinity symbol]([lowercase Greek]Mu) denotes the weak star closure of the polynomials in [italic]L[infinity symbol]([lowercase Greek]Mu) = [italic]L1[infinity symbol]([lowercase Greek]Mu) then for [script]f in [italic]P[infinity symbol]([lowercase Greek]Mu) it follows that [script]f([italic]N) leaves [script]H invariant; if [script]f([italic]S) is defined as the restriction of [script]f([italic]N) to [script]H then a functional calculus for [italic]S is obtained. This functional calculus is investigated in this paper.

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American Mathematical Soc.

Published Date

ISBN 10

0821821849

ISBN 13

9780821821848

Faithful Friendships

Embracing Diversity in Christian Community

By: Dana L. Robert

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Faithful Friendships

Embracing Diversity in Christian Community

By: Dana L. Robert

On the necessity of boundary-crossing friendships for Christian discipleship Friendship isn’t always given a lot of thought—and lately, it doesn’t get a lot of time and effort, either. But in a world of busy and isolated lives, in which friendships can too easily become shallow, tenuous, and homogeneous, Dana Robert insists that good friendships are a vital and transformative part of the Christian life—a mustard seed of the kingdom of God. She believes Christians have the responsibility—and opportunity—to be countercultural by making friends across cultural, racial, socioeconomic, and religious lines that separate people from each other. In this book Robert tells the stories of Christians who, despite or even because of difficult circumstances, experienced friendship with people unlike themselves as “God with us,” as exile, as testimony, and as celebration. Jesus was a friend to his disciples. Through Jesus’s life and the lives of his followers down through the ages, Faithful Friendships shows readers how friendship can become life-changing—and even worldchanging.

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Page Count

203

Publisher

Wm. B. Eerdmans Publishing

Published Date

ISBN 10

146745706X

ISBN 13

9781467457064

The Fifties Spiritual Marketplace

American Religion in a Decade of Conflict

By: Robert S. Ellwood

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The Fifties Spiritual Marketplace

American Religion in a Decade of Conflict

By: Robert S. Ellwood

Ellwood frames his detailed and lively account with the provocative idea of the fifties as a "supply-side" free enterprise spiritual marketplace, with heady competition between religious groups and leaders, and with church attendance at a record high.

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Page Count

294

Publisher

Rutgers University Press

Published Date

ISBN 10

081352346X

ISBN 13

9780813523460

First Taste of Freedom

A Cultural History of Bicycle Marketing in the United States

By: Robert Turpin

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First Taste of Freedom

A Cultural History of Bicycle Marketing in the United States

By: Robert Turpin

The bicycle has long been a part of American culture but few would describe it as an essential element of American identity in the same way that it is fundamental to European and Asian cultures. Instead, American culture has had a more turbulent relationship with the bicycle. First introduced in the United States in the 1830s, the bicycle reached its height of popularity in the 1890s as it evolved to become a popular form of locomotion for adults. Two decades later, ridership in the United States collapsed. As automobile consumption grew, bicycles were seen as backward and unbecoming—particularly for the white middle class. Turpin chronicles the story of how the bicycle’s image changed dramatically, shedding light on how American consumer patterns are shaped over time. Turpin identifies the creation and development of childhood consumerism as a key factor in the bicycle’s evolution. In an attempt to resurrect dwindling sales, sports marketers reimagined the bicycle as a child’s toy. By the 1950s, it had been firmly established as a symbol of boyhood adolescence, further accelerating the declining number of adult consumers. Tracing the ways in which cycling suffered such a loss in popularity among adults is fundamental to understanding why the United States would be considered a "car" culture from the 1950s to today. As a lens for viewing American history, the story of the bicycle deepens our understanding of our national culture and the forces that influence it.

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Page Count

306

Publisher

Syracuse University Press

Published Date

ISBN 10

0815654391

ISBN 13

9780815654391

Book's by Robert F. Olin

Subnormal Operators and Representations of Algebras of Bounded Analytic Functions and Other Uniform Algebras

Subnormal Operators and Representations of Algebras of Bounded Analytic Functions and Other Uniform Algebras

A Functional Calculus for Subnormal Operators II

A Functional Calculus for Subnormal Operators II

Faithful Friendships

Faithful Friendships

The Fifties Spiritual Marketplace

The Fifties Spiritual Marketplace

First Taste of Freedom

First Taste of Freedom

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