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The problem as to whether or not there exists a lifting of the M't/. 1 space ) corresponding to the real line and Lebesgue measure on it was first raised by A. Haar. It was solved in a paper published in 1931 [102] by 1. von Neumann, who established the existence of a lifting in this case. In subsequent papers J. von Neumann and M. H. Stone [105], and later on 1. Dieudonne [22], discussed various algebraic aspects and generalizations of the problem. Attemps to solve the problem as to whether or not there exists a lifting for an arbitrary M't/. space were unsuccessful for a long time, although the problem had significant connections with other branches of mathematics. Finally, in a paper published in 1958 [88], D. Maharam established, by a delicate argument, that a lifting of M't/. always exists (for an arbi trary space of a-finite mass). D. Maharam proved first the existence of a lifting of the M't/. space corresponding to a product X = TI {ai,b,} ieI and a product measure J.1= Q9 J.1i' with J.1i{a;}=J.1i{b,}=! for all iE/. ,eI Then, she reduced the general case to this one, via an isomorphism theorem concerning homogeneous measure algebras [87], [88]. A different and more direct...

A leading literary critic’s innovative study of how the Nobel Prize–winning author turned life into art. Saul Bellow was the most lauded American writer of the twentieth century—the winner of the Nobel Prize in Literature and the Pulitzer Prize in Fiction, and the only novelist to be awarded the National Book Award in Fiction three times. Preeminently a novelist of personality in all its wrinkles, its glories and shortcomings, Bellow filled his work with vibrant, garrulous, particular people—people who are somehow exceptionally alive on the page. In Bellow’s People, literary historian and critic David Mikics explores Bellow’s life and work through the real-life relationships and friendships that Bellow transmuted into the genius of his art. Mikics covers ten of the extraordinary people who mattered most to Bellow, such as his irascible older brother, Morrie, a key inspiration for The Adventures of Augie March; the writer Delmore Schwartz and the philosopher Allan Bloom, who were the originals for the protagonists of Humboldt’s Gift and Ravelstein; the novelist Ralph Ellison, with whom he shared a house every summer in the late 1950s, when Ellison was coming off the...

An NSF-supported conference in honor of Professor Shizuo Kakutani was held on June 8-11, 1982, at Yale University, on the occasion of Kakutani's retirement. The three major areas of mathematics on which the conference focused were functional analysis, probability theory, and ergodic theory. Most of the articles presented were works by the respective authors on problems that were pioneered by Professor Kakutani in the past. Questions in Brownian motion, induced transformations, representation of $M$-spaces, and fixed point theorems were discussed.

Includes entries for maps and atlases.

Contains short biographies of almost 1,000 scientists from around the world who made great contributions to science throughout history.

This text represents a supplement to the original 4-volume set, and provides 225 new profiles on internationally renowned scientists, with special attention to women and minorities. These include Ian Wilmut, Scottish embryologist, Tim Berners-Lee, British computer scientist, and Virginia Agpar, American Anaestheologist.

This updated second edition of Notable Twentieth-Century Scientists provides biographies of approximately 1,600 scientist in the natural, physical, and applied sciences, including astronomy, biology, botany, chemistry, earth science, mathematics, medicine, physics, technology, zoology, computer science, ecology, engineering, and environmental science. Entries highlight name, birth/death dates, nationality, and primary specialization; run from 400- 2500 words; list publications; and feature a section of further reading. All five volumes of the set begin with a list of entries and a chronology of major advances, and volume five ends with several indexes based on the scientist's specialization, gender, nationality/ethnicity, and subject. Over 400 scientists garner photographs. Diversity and internationalism are hallmarks of the set. Suitable for high school and college. c. Book News Inc.

"Time to meet an increase in the lives of mathematicians, this volume covers over 300 of them, from antiquity to the present. Many contemporary African-American, Asian-American, and Hispanic-American women are included. The alphabetically arranged entries contain a heading with name, birth and death dates, field of specialization, nationality, and ethnicity when applicable, as well as a picture when possible. An accompanying essay describes the life and significant contribution of the person to the field of mathematics with suggestions for further information, which include books, periodicals, documentaries, and Web sites. The list of milestones in mathematics begins at 50,000 BC with evidence of primitve counting and continues until the present."--"Outstanding Reference Sources : the 1999 Selection of New Titles", American Libraries, May 1999. Comp. by the Reference Sources Committee, RUSA, ALA.

A biographical dictionary of notable living women in the United States of America.

A compilation of brief profiles of American and Canadian men and women from the Midwest and central Canada who have achieved prominence in various fields