Panackal Harikrishnan's Books

Probabilistic Normed Spaces

By: Bernardo Lafuerza Guillen,Panackal Harikrishnan

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Probabilistic Normed Spaces

By: Bernardo Lafuerza Guillen,Panackal Harikrishnan

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233

Publisher

World Scientific

Published Date

ISBN 10

1783264705

ISBN 13

9781783264704

Probabilistic Normed Spaces

By: Bernardo Lafuerza Guillén,Panackal Harikrishnan

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Probabilistic Normed Spaces

By: Bernardo Lafuerza Guillén,Panackal Harikrishnan

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220

Published Date

ISBN 10

1783264683

ISBN 13

9781783264681

Probabilistic Normed Spaces

By: Bernardo Lafuerza Guillén,Panackal Harikrishnan

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Probabilistic Normed Spaces

By: Bernardo Lafuerza Guillén,Panackal Harikrishnan

This book provides a comprehensive foundation in Probabilistic Normed (PN) Spaces for anyone conducting research in this field of mathematics and statistics. It is the first to fully discuss the developments and the open problems of this highly relevant topic, introduced by A N Serstnev in the early 1960s as a response to problems of best approximations in statistics. The theory was revived by Claudi Alsina, Bert Schweizer and Abe Sklar in 1993, who provided a new, wider definition of a PN space which quickly became the standard adopted by all researchers. This book is the first wholly up-to-date and thorough investigation of the properties, uses and applications of PN spaces, based on the standard definition. Topics covered include:: What are PN spaces?; The topology of PN spaces; Probabilistic norms and convergence; Products and quotients of PN spaces; D -boundedness and D -compactness; Normability; Invariant and semi-invariant PN spaces; Linear operators; Stability of some functional equations in PN spaces; Menger''s 2-probabilistic normed spaces . The theory of PN spaces is relevant as a generalization of deterministic results of linear normed spaces and also in the study of random operator equations. This introduction will therefore have broad relevance across mathematical and statistical research, especially those working in probabilistic functional analysis and probabilistic geometry. Contents: Preliminaries; Probabilistic Normed Spaces; The Topology of PN Spaces; Probabilistic Norms and Convergence; Products and Quotients of PN Spaces; D -Boundedness and D -Compactness; Normability; Invariant and Semi-Invariant PN Spaces; Linear Operators; Stability of Some Functional Equations in PN Spaces; Menger''s 2-Probabilistic Normed Spaces. Readership: Post graduate students and researchers in the field of Probabilistic Normed Spaces. Key Features: The theory of PN spaces is relevant as a generalization of deterministic results of linear normed spaces and also in the study of random operator equations; Deals with all the developed ideas in PN spaces; A good reference book for post graduate students and researchers in this field as it identifies the developments and open problems in PN spaces

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233

Published Date

ISBN 10

1783264691

ISBN 13

9781783264698

Near Rings, Near Fields, and Related Topics

By: Kuncham Syam Prasad,Kedukodi Babushri Srinivas,Harikrishnan Panackal,Bhavanari Satyanarayana

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Near Rings, Near Fields, and Related Topics

By: Kuncham Syam Prasad,Kedukodi Babushri Srinivas,Harikrishnan Panackal,Bhavanari Satyanarayana

Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings. The forward note by Günter Pilz (Johannes Kepler University, Austria) explains about past developments and future prospects in the theory of nearrings and nearfields. Certain applications of nearrings are found in a few chapters. Some of the chapters are independent; however flow is maintained in all the chapters. It also include few chapters of exploratory approach."--Publisher's website.

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Page Count

324

Published Date

ISBN 10

9813207361

ISBN 13

9789813207363

Book's by Panackal Harikrishnan

Probabilistic Normed Spaces

Probabilistic Normed Spaces

Probabilistic Normed Spaces

Probabilistic Normed Spaces

Probabilistic Normed Spaces

Probabilistic Normed Spaces

Near Rings, Near Fields, and Related Topics

Near Rings, Near Fields, and Related Topics

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