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20042026
most citedTransformative effects of IoT, Blockchain and Artificial Intelligence on cloud computing: Evolution, vision, trends and open challenges

504 citations

Showing math.FAShow all

6 papers · 1 filter

math.FA2024

Isometric Representations of Calibrated Ordered Spaces on

Serdar Ay

The problem of characterizing normed ordered spaces which admit a representation in the algebraic, order and norm sense as a subspace of , the space of all continuous functio…

math.FA2021

Automatic Boundedness of Adjointable Operators on Barreled VH-Spaces

Serdar Ay

We consider the space of adjointable operators on barreled VH (Vector Hilbert) spaces and show that such operators are automatically bounded.This generalizes the well known corresp…

math.FA2019★ 17 cited

On relations between transportation cost spaces and

Sofiya Ostrovska, Mikhail I. Ostrovskii

The present paper deals with some structural properties of transportation cost spaces, also known as Arens-Eells spaces, Lipschitz-free spaces and Wasserstein spaces. The main resu…

math.FA2019★ 20 cited

Generalized transportation cost spaces

Sofiya Ostrovska, Mikhail Ostrovskii

The paper is devoted to the geometry of transportation cost spaces and their generalizations introduced by Melleray, Petrov, and Vershik (2008). Transportation cost spaces are also…

math.FA2017★ 5 cited

On embeddings of locally finite metric spaces into

Sofiya Ostrovska, Mikhail I. Ostrovskii

It is known that if finite subsets of a locally finite metric space admit -bilipschitz embeddings into , then for every , the space adm…

math.FA2015★ 5 cited

Distortion in the finite determination result for embeddings of locally finite metric spaces into Banach spaces

Sofiya Ostrovska, Mikhail I. Ostrovskii

Given a Banach space and a real number , we write: (1) if, for any locally finite metric space , all finite subsets of which admit bilipschitz embeddings…