We define a new semi-inner product g* on lp spaces for 1 ≤ p < ∞ equipped with a 2-norm. Using g*, we study the g*-angle between two vectors on lp. We also develop the notion of the g*-angle between a 1-dimensional subspace and an k-dimensional subspace for k ≥ 1 in the 2-normed space.
Topics
Functional analysis
REFERENCES
1.
V.
Balestro
, A. G.
Horvath
, H.
Martini
, and R.
Teixeira
, Aequationes Math.
91
, 201
–236
(2017
).2.
3.
4.
S.
Gahler
, Math. Nachr.
28
, 1
–43
(1964
).5.
J. R.
Giles
, Trans. Amer. Math. Soc.
129
, 436
–446
(1967
).6.
H.
Gunawan
, Bull. Austral. Math. Soc.
64
, 137
–147
(2001
).7.
H.
Gunawan
and Mashadi
, Int. J. Math. Sci.
27
, 631
–639
(2001
).8.
9.
10.
11.
M.
Nur
and H.
Gunawan
, Aequationes Math.
93
, 547
–555
(2019
).12.
13.
M.
Nur
and H.
Gunawan
, Aequationes Math.
95
, 309
–318
(2021
).14.
M.
Nur
, H.
Gunawan
, and O.
Neswan
, Beitr. Algebra Geom.
59
, 133
–143
(2018
).
This content is only available via PDF.
© 2023 Author(s).
2023
Author(s)
You do not currently have access to this content.
