7,624 research outputs found

    Lattice homomorphisms in harmonic analysis

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    Let SS be a non-empty, closed subspace of a locally compact group GG that is a subsemigroup of GG. Suppose that X,YX, Y, and ZZ are Banach lattices that are vector sublattices of the order dual Cc(S,R)\mathrm{C}_{\mathrm{c}}(S,\mathbb R)^\sim of the real-valued, continuous functions with compact support on SS, and where ZZ is Dedekind complete. Suppose that :X×YZ\ast: X\times Y\to Z is a positive bilinear map such that supp(xy)suppxsuppy\mathrm{supp}\,{(x \ast y)}\subseteq\mathrm{supp}\,{x}\,\cdot\,\mathrm{supp}\,{y} for all xX+x\in X^+ and yY+y\in Y^+ with compact support. We show that, under mild conditions, the canonically associated map from XX into the vector lattice of regular operators from YY into ZZ is then a lattice homomorphism. Applications of this result are given in the context of convolutions, answering questions previously posed in the literature. As a preparation, we show that the order dual of the continuous, compactly supported functions on a closed subspace of a locally compact space can be canonically viewed as an order ideal of the order dual of the continuous, compactly supported functions on the larger space. As another preparation, we show that Lp\mathrm{L}^p-spaces and Banach lattices of measures on a locally compact space can be embedded as vector sublattices of the order dual of the continuous, compactly supported functions on that space.Comment: 43 pages. Minor corrections; mathematically identical to the first version. Final version, to appear in `Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday' (Birkhauser, 2019; edited by Gerard Buskes, Marcel de Jeu, Peter Dodds, Anton Schep, Fedor Sukochev, Jan van Neerven, and Anthony Wickstead

    Interview with Anthony F. Janson

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    Anthony F. Janson is a retired professor and former Department Chair for the UNCW Department of Art and Theatre [retired December 2002]. This interview covers his complete life and career. He discusses his relationship with his art historian father, H.W. Janson, including his relationship as son and co-author and editor of the Janson texts on art history. The interview covers Tony's career as a scholar, book editor, author, art museum curator [at Indianapolis Art Museum and North Carolina Art Museum], and as a professor. Throughout, he comments on important artists in history and his philosophy of art history. He also includes stories of his time in the Vietnam War

    Interview with Anthony F. Janson

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    Anthony F. Janson is a retired professor and former Department Chair for the UNCW Department of Art and Theatre [retired December 2002]. This interview covers his complete life and career. He discusses his relationship with his art historian father, H.W. Janson, including his relationship as son and co-author and editor of the Janson texts on art history. The interview covers Tony's career as a scholar, book editor, author, art museum curator [at Indianapolis Art Museum and North Carolina Art Museum], and as a professor. Throughout, he comments on important artists in history and his philosophy of art history. He also includes stories of his time in the Vietnam War

    Letter from Anthony Brummelkamp to Mrs. G. Groen van Prinsterer

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    In a letter to Mrs. G. Groen van Prinsterer from Rev. Anthony Brummelkamp, the author is clearing up some statements of Rev. Budding and chiding Rev. Hendrik Scholte for having an arrogant and sharp tone. A foonote to the letter mentions the school operated by Rev. Brummelkamp and Rev. Albertus C. Van Raalte in Arnhem.https://digitalcommons.hope.edu/vrp_1840s/1193/thumbnail.jp

    Positivity and noncommutative analysis: festschrift in honour of Ben de Pagter on the occasion of his 65th birthday

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    Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday. It will be of interest to researchers in positivity, noncommutative analysis, and related fields. Contributions by Shavkat Ayupov, Amine Ben Amor, Karim Boulabiar, Qingying Bu, Gerard Buskes, Martijn Caspers, Jurie Conradie, Garth Dales, Marcel de Jeu, Peter Dodds, Theresa Dodds, Julio Flores, Jochen Glück, Jacobus Grobler, Wolter Groenevelt, Markus Haase, Klaas Pieter Hart, Francisco Hernández, Jamel Jaber, Rien Kaashoek, Turabay Kalandarov, Anke Kalauch, Arkady Kitover, Erik Koelink, Karimbergen Kudaybergenov, Louis Labuschagne, Yongjin Li, Nick Lindemulder, Emiel Lorist, Qi Lü, Miek Messerschmidt, Susumu Okada, Mehmet Orhon, Denis Potapov, Werner Ricker, Stephan Roberts, Pablo Román, Anton Schep, Claud Steyn, Fedor Sukochev, James Sweeney, Guido Sweers, Pedro Tradacete, Jan Harm van der Walt, Onno van Gaans, Jan van Neerven, Arnoud van Rooij, Freek van Schagen, Dominic Vella, Mark Veraar, Anthony Wickstead, Marten Wortel, Ivan Yaroslavtsev, and Dmitriy Zanin

    Fr. Anthony J. Gittins, C.S.Sp.

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    Fr. Anthony J. Gittins, C.S.Sp. [b. 1943] was ordained in 1967. He attended the University of Edinburgh from 1968-72 and received a doctorate in Social Anthropology in 1977. Fr. Gittins was a missionary to the Mende people in Sierra Leone from 1972-80. He went on to serve as a professor at the Missionary Institute and as Formation Director in London from 1980-84. He is the Emeritus Professor of Theology and Culture at the Catholic Theological Union in Chicago, Illinois, where he began teaching in 1984. Fr. Gittins has spent over thirty years ministering to homeless women and those leaving prostitution in Chicago, and is the author of several books.https://dsc.duq.edu/sohp/1000/thumbnail.jp

    Anthony Grooms, 21st Annual ODU Literary Festival

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    Anthony Grooms is the author of Ice Poems (Poetry Atlanta Press) and Trouble No More: Stories (LaQuesta Press). Shorter works have appeared in Callaloo, African American Review, and other journals. He has received awards from the City of Atlanta, the State of Georgia, Breadloaf Writers Workshop and the National Endowment for the Arts. In 1996, Trouble No More won the Lillian Smith Award from the Southern Regional Council. Novelist Marita Golden noted that “Grooms writes about the South, civil rights, home folks, black and white people and anything he wants to with more love, humor and finely-honed skill than I have seen in a long time.” The Atlanta Journal-Constitution said, “Groom’s stories take us to the center of the phenomenon (civil rights movement) with an honesty and courage long overdue.” Grooms is an Associate Professor of Creative Writing at Kennesaw State University in Georgia

    Anthony Swofford & Writers In Community, 39th Annual ODU Literary Festival

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    Anthony Swofford is the author of the memoir Jarhead as well as a novel Exit A. His writing has appeared in Harper’s, the Guardian, Slate, The New York Times, The Daily Beast, and others. He has taught at the University of Iowa Writers’ Workshop and Lewis and Clark College. His forthcoming book is a biography of Carlos Arredondo, a Gold Star Father and hero of the 2013 marathon bombing in Boston, and he will write an adaptation of this book for HBO Films

    An introduction to the curvature of surfaces

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    Curvature is fundamental to the study of differential geometry. It describes different geometrical and topological properties of a surface in R3. Two types of curvature are discussed in this paper: intrinsic and extrinsic. Numerous examples are given which motivate definitions, properties and theorems concerning curvature.M.S.Includes bibliographical references (p. 56)by Philip Anthony Baril
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