Strange Terrain--Nonarchimedean Spaces

DOI10.2307/2320670zbMath0486.46054OpenAlexW4245412037MaRDI QIDQ3946644

Lawrence Narici, Edward Beckenstein

Publication date: 1981

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2320670

zbMATH Keywords

Banach spacesHilbert spacespaces of continuous functionsderivativesBanach algebrascontinuous functionnon-Archimedean spacesantiderivativesnon-Archimedean measure theoryspherically complete fieldsNachbin-Shirota characterizations of barrelled and bornological spacesnon- Archimedean Hahn-Banach theorem

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean valued fields (12J25)

Related Items

Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods ⋮ Characterizations on Mazur-Ulam theorem ⋮ A functional equation related to inner product spaces in non-Archimedean normed spaces ⋮ A functional equation related to inner product spaces in non-Archimedean \(\mathcal L\)-random normed spaces ⋮ Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces ⋮ A Mazur-Ulam problem in non-Archimedean \(n\)-normed spaces ⋮ Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras ⋮ AQCQ-functional equation in non-Archimedean normed spaces ⋮ On the Mazur-Ulam theorem in non-Archimedean fuzzy normed spaces ⋮ STABILITY OF THE GENERALIZED QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN FUZZY NORMED SPACES ⋮ A general system of Euler-Lagrange-type quadratic functional equations in Menger probabilistic non-Archimedean 2-normed spaces ⋮ Unnamed Item ⋮ Fixed points and approximately heptic mappings in non-Archimedean normed spaces ⋮ A Mazur--Ulam theorem in non-Archimedean normed spaces ⋮ On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces ⋮ Unnamed Item ⋮ Stability and superstability of ring homomorphisms on non-archimedean Banach algebras ⋮ Stability of additive mappings in non-archimedean fuzzy normed spaces ⋮ On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces