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Volume : XIV, Issue : II, March - 2024

EXPLORING THE ROLE OF METRIC SPACES IN MODERN FUNCTIONAL ANALYSIS

Dr. Anant Nivruttirao Patil, -

By : Laxmi Book Publication

Abstract :

Modern functional analysis relies heavily on metric spaces, which operate as a link between topological features and abstract algebraic structures. The importance of metric spaces in the study of functional analysis is examined in this paper, with particular attention paid to important ideas such operator continuity, completeness, and compactness.

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Cite This Article :

Dr. Anant Nivruttirao Patil, -(2024). EXPLORING THE ROLE OF METRIC SPACES IN MODERN FUNCTIONAL ANALYSIS. Indian Streams Research Journal, Vol. XIV, Issue. II, http://isrj.org/UploadedData/11300.pdf

References :

  1. 1. Rudin, W. (1991). Functional Analysis. McGraw-Hill.
  2. 2. Kreyszig, E. (1989). Introductory Functional Analysis with Applications. John Wiley & Sons.

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