Lp-C*-Semi-Inner Product Spaces

被引：0

作者：

Khalili, Zakiye ^{[1
]}

Janfada, Alireza ^{[1
]}

Miri, Mohammad Reza ^{[1
]}

Niazi, Mohsen ^{[1
]}

机构：

[1] Univ Birjand, Dept Math, POB 414, Birjand 9717851367, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2022年 / 19卷 / 01期

关键词：

Hilbert C*-module; Semi-inner product; Derivation; Anti-Derivation; LOCAL AUTOMORPHISMS; 2-LOCAL DERIVATIONS; ALGEBRAS; MODULES;

D O I：

10.22130/scma.2021.526207.918

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article introduces the notion of L-p-C*-semi-inner product space, a generalization of the concept of C*-semi-inner product space introduced by Gamchi et al., where we consider Holder's inequality instead of Cauchy Schwartz' inequality. We establish some basic results L-p-C*-semi-inner product spaces, analogous to those valid for C*-semi-inner product spaces and Hilbert C*-modules.

引用

页数：18

共 50 条

[1] C*-semi-inner product spaces
Gamchi, Saeedeh Shamsi
Janfada, Mohammad
Niknam, Asadollah
[J]. SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 10 (01): : 73 - 83
[2] Frames in Semi-inner Product Spaces
Sahu, N. K.
Mohapatra, Ram N.
[J]. MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 149 - 158
[3] SEMI-INNER PRODUCT SPACES, I
HUSAIN, T
MALVIYA, BD
[J]. COLLOQUIUM MATHEMATICUM, 1972, 24 (02) : 234 - &
[4] SEMI-INNER PRODUCT SPACES, II
HUSAIN, T
MALVIYA, BD
[J]. COLLOQUIUM MATHEMATICUM, 1973, 27 (01) : 95 - 105
[5] PARTIAL INNER PRODUCT-SPACES AND SEMI-INNER PRODUCT-SPACES
ANTOINE, JP
GUSTAFSON, K
[J]. ADVANCES IN MATHEMATICS, 1981, 41 (03) : 281 - 300
[6] TOPOLOGIES ON GENERALIZED SEMI-INNER PRODUCT SPACES
NATH, B
[J]. COMPOSITIO MATHEMATICA, 1971, 23 (03) : 309 - &
[7] CHARACTERIZATIONS OF INNER PRODUCT SPACES BY INEQUALITIES INVOLVING SEMI-INNER PRODUCT
Wojcik, Pawel
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (03): : 879 - 885
[8] GENERALIZED ADJOINT IN CERTAIN SEMI-INNER PRODUCT SPACES
KOEHLER, DO
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (04): : 645 - &
[9] Numerical Range of Two Operators in Semi-Inner Product Spaces
Sahu, N. K.
Nahak, C.
Nanda, S.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[10] ON SEMI-INNER PRODUCT ALGEBRAS
HUSAIN, T
MALVIYA, BD
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1970, 46 (03): : 273 - &

← 1 2 3 4 5 →